I feel embarrassed of who I am

Mo
So basically my family is religious, not intensely but they believe homosexuality is unnatural. Anyway, my hair was really damaged lately from loads of bleaching and dying so I decided to shave it all off. My sister then told me people will think I am a lesbian. I fee SO embarrassed about it because my family don't know I'm bi and in different circumstances I would've been proud to be thought of that way. When I was younger I even wanted to shave my head for that reason alone since I'm genderqueer but I was never brave enough to do it. Now my decision was motivated purely by wanting to save my hair it seems like I just feel so ashamed that it's actually who I am on some level... anyone else relate? I will never come out to them unless I date a girl and right now I have a boyfriend who I want to marry so that will probably be never. I'm just gonna always be in the closet lol.