My parents didn't really understand or listen to me when I said I was bisexual back in highschool (I'm 27 now), but they're supportive of gay marriage and my lesbian cousin. When I told them my friend was trans, they were supportive of her and understood, they just don't fully get it on their end because they're just not well-versed in this stuff.
However, when I told my mom I wanted to change my name last year, she said I was born a girl, my name is Rebecca, and that's all there is to it. I was born to be a girl named Rebecca, nothing more and nothing less. She knows I see a gender therapist, she knows I don't like being feminine, she knows this, but clearly would excommunicate me from her life if I came out. My father doesn't understand gender, but he didn't really accept my sexuality so he'll just say I'm "going through a phase" if I came out to him.
I'm not even out to my friends and fiance yet, none of them support me in that way, even though they're mainly LGBTQ. They just think I'm crazy or confused or autistic. Only one who knows who I really am is my gender therapist, and it is heartbreaking I'll never be able to be who I am to anyone in real life, I just have to pretend constantly that I'm this tomboy-ish girl that has a very weird fascination with certain fetishes because "oh that's just Becky, she's a weirdo".