There is nothing wrong with you being trans <3
If your culture is transphobic, you are allowed to just ignore or reject the bigoted parts (or any other parts you have no interest in) and be the woman you want to be (and are). Culture is malleable, personal, multidimensional, and you can decide what parts you like and don't, and choose which parts you care about nya, and adopt or wholesale create your own ideas of culture or the cultures you are a part of (online, offline, or otherwise).
You have the right to self-determination and people saying it's not ok to exist as yourself and act to make that happen can take their opinions and shove them. That's my opinion and I hope it helps you feel better about yourself :)