
The point is, I think, that the OP's character has a name that is not really all that lorebreaking at all. In fact, there's explanation for it - readily offered - that adds flavor to both the character's history and for possible interactions when people ask about the name. That, in my book, is the way to go about it. As long as you can answer the 'Why?', you're set.
"Why do you have a Doman name?" One of my parents is Doman.
"Why are you called 'Tonton' rather than W'hatever?" It's a nickname.
Really, it's rather easy to explain away a lot of names - especially since the opening cutscene at the Adventurer's Guilds makes mention of other adventurers using monikers instead of their actual names. So it could be their actual name, a nickname, a false name, a title... any number of things. It's just all in how you present it.
"Why do you have a Doman name?" One of my parents is Doman.
"Why are you called 'Tonton' rather than W'hatever?" It's a nickname.
Really, it's rather easy to explain away a lot of names - especially since the opening cutscene at the Adventurer's Guilds makes mention of other adventurers using monikers instead of their actual names. So it could be their actual name, a nickname, a false name, a title... any number of things. It's just all in how you present it.