A dragoon, at the most basic level, is any Ishgardian soldier that has slain a dragon (like, a big scary dragon; not just a puk) and has been recognized for it by Ishgardian authorities. In other words, it's technically less of a job and more of a title. The valiant knight that has trained for decades to slay a mighty Dravanian terror has just as much of a shot at becoming a dragoon as Steve the Ballista Guy who got a lucky shot off in the heat of battle.
Moving past the title being available to anyone who happens to kill a dragon, it has been made clear that dragoons do comprise an elite fighting force in Ishgard specialized in killing dragons. To that end they practice a unique fighting style that involves, among other things, aerial combat maneuvers utilizing the job's famous jump techniques.
Then there's the Azure Dragoon, which is a whole 'nother thing that is sadly so irrelevant to the discussion of regular dragoons that I can't imagine getting into the details of it would serve as much more than a distraction from the subject at hand. You'll learn all about that from the in-game quests anyway.
Now, as far as your character is concerned, there is nothing in lore that strictly prohibits the existence of a Miqo'te dragoon. My own character is one in fact. There's nothing to suggest Ishgard is purely Hyur and Elezen; only that those two races comprise the majority of the population (with the latter holding most of the political power). An important thing to keep in mind is that Ishgard has only shut itself off from the world for twenty years. That's not a long time, and the idea that a few members of every other race didn't trickle in to the city during the thousand or so years before that is frankly kind of ridiculous.
However, being a dragoon (that is, a loyal and distinguished member of Ishgard's military) in the context of the current place of the story is a bit tricky, as there are several requirements that need to be met:
First, you need to be Ishgardian. No outsiders have been allowed into the city for twenty years and the nation remains extremely distrustful of outsiders. While adventurers may be tolerated and employed to help on the ground in Coerthas, it's highly improbable (if not wholly impossible) an outsider to Ishgard would be able to get the official endowment of the title dragoon.
Second, if you are a loyal member of Ishgard's military and rank among their elite dragon fighters, why are you not in Ishgard fighting dragons right now? Coming up with a strong answer for that question is not impossible, but it requires some creative flexibility and more likely than not the exploitation of gray areas of lore.
If you are not presently a loyal member of Ishgard's military, then you are not a dragoon. You were a dragoon!
In short, if your character is not Ishgardian in origin, it's not very plausible that they would be able to become an actual, titled dragoon. With that said, it is significantly more doable for your character to come in contact with ex-Ishgardian soldiers or dragoons and to learn the skills they're willing to teach, culminating in becoming an actual dragoon during/after the events of Heavensward.
I'm sure I missed some things, but I hoped that helped at least a little. And if A'zireena ever wants to get her own education about the noble and esteemed ranks of Ishgardian dragon slayers, she's more than welcome to say hi to V'aleera any time!
EDIT: I'd like to touch briefly on the issue of racism within Ishgardian society. While it hasn't been explicitly shown, I can't help but speculate based on various factors present in Ishgard that their people might trend toward being racist. They're a nation of isolationist xenophobes with a bit of a cultural superiority complex, on top of being one of the most religiously zealous societies in Eorzea. That's one heck of a mix that lends itself to speculation that Ishgardians do not treat people that fall outside the norm particularly well.
Again, just so we're clear: speculation.
Moving past the title being available to anyone who happens to kill a dragon, it has been made clear that dragoons do comprise an elite fighting force in Ishgard specialized in killing dragons. To that end they practice a unique fighting style that involves, among other things, aerial combat maneuvers utilizing the job's famous jump techniques.
Then there's the Azure Dragoon, which is a whole 'nother thing that is sadly so irrelevant to the discussion of regular dragoons that I can't imagine getting into the details of it would serve as much more than a distraction from the subject at hand. You'll learn all about that from the in-game quests anyway.
Now, as far as your character is concerned, there is nothing in lore that strictly prohibits the existence of a Miqo'te dragoon. My own character is one in fact. There's nothing to suggest Ishgard is purely Hyur and Elezen; only that those two races comprise the majority of the population (with the latter holding most of the political power). An important thing to keep in mind is that Ishgard has only shut itself off from the world for twenty years. That's not a long time, and the idea that a few members of every other race didn't trickle in to the city during the thousand or so years before that is frankly kind of ridiculous.
However, being a dragoon (that is, a loyal and distinguished member of Ishgard's military) in the context of the current place of the story is a bit tricky, as there are several requirements that need to be met:
First, you need to be Ishgardian. No outsiders have been allowed into the city for twenty years and the nation remains extremely distrustful of outsiders. While adventurers may be tolerated and employed to help on the ground in Coerthas, it's highly improbable (if not wholly impossible) an outsider to Ishgard would be able to get the official endowment of the title dragoon.
Second, if you are a loyal member of Ishgard's military and rank among their elite dragon fighters, why are you not in Ishgard fighting dragons right now? Coming up with a strong answer for that question is not impossible, but it requires some creative flexibility and more likely than not the exploitation of gray areas of lore.
If you are not presently a loyal member of Ishgard's military, then you are not a dragoon. You were a dragoon!
In short, if your character is not Ishgardian in origin, it's not very plausible that they would be able to become an actual, titled dragoon. With that said, it is significantly more doable for your character to come in contact with ex-Ishgardian soldiers or dragoons and to learn the skills they're willing to teach, culminating in becoming an actual dragoon during/after the events of Heavensward.
I'm sure I missed some things, but I hoped that helped at least a little. And if A'zireena ever wants to get her own education about the noble and esteemed ranks of Ishgardian dragon slayers, she's more than welcome to say hi to V'aleera any time!
EDIT: I'd like to touch briefly on the issue of racism within Ishgardian society. While it hasn't been explicitly shown, I can't help but speculate based on various factors present in Ishgard that their people might trend toward being racist. They're a nation of isolationist xenophobes with a bit of a cultural superiority complex, on top of being one of the most religiously zealous societies in Eorzea. That's one heck of a mix that lends itself to speculation that Ishgardians do not treat people that fall outside the norm particularly well.
Again, just so we're clear: speculation.
V'aleera's Wiki - https://wiki.ffxiv-roleplayers.com/pages...eera_Lhuil
V'aleera's Tumblr - valeeralhuil.tumblr.com
V'aleera's Tumblr - valeeralhuil.tumblr.com