If you like the name, I'd be more on the side of keeping it. I think you would rather have a name that you like than a name you felt like you "have" to have.
There are simple ways to explain non-conventional names. My Miqo'te's name is Garryson Shipkeeper. Obviously not a Miqo'te tribe name. But my character was given the name by the Hyur who raised him. He was probably given a tribal name, but he has no idea what it is.
Does your character actually come straight out of one of the Miqo'te tribes? Or was she raised in a city-state? If her background is more urban, I wouldn't see much of a problem keeping a more Hyur sounding name. Or if she left the tribal life to live in the cities, she could adopt a new name for herself.
But that's just my biased opinion. My character basically thinks of himself as a Hyur with a tail.
There are simple ways to explain non-conventional names. My Miqo'te's name is Garryson Shipkeeper. Obviously not a Miqo'te tribe name. But my character was given the name by the Hyur who raised him. He was probably given a tribal name, but he has no idea what it is.
Does your character actually come straight out of one of the Miqo'te tribes? Or was she raised in a city-state? If her background is more urban, I wouldn't see much of a problem keeping a more Hyur sounding name. Or if she left the tribal life to live in the cities, she could adopt a new name for herself.
But that's just my biased opinion. My character basically thinks of himself as a Hyur with a tail.