My mom got my dead name tattooed on her

I'm still under her roof so I have to go by she/her and by that name and now I have to keep it FOREVER. It's a gender neutral name, some might even say it's mostly for a guy, but its not the name I want. I feel so stuck now. Even when I move out and get the freedom to transition, I'll feel bad. Do I just keep my deadname, since it can be both a 'boy' and 'girl' name, and change my pronouns? For those curious it's my dead name along with my birtb month's flower, she got one for my little sister too. Its a beautiful tattoo on her wrist.