Homophobic cousin! Putting doubt in my head

Iv recently thought that I'd made such progress in the last few weeks in accepting myself as a lesbianand loving myself (im not out yet except to mt twin) However recently Iv had family come to stay with me and I have a really homophobic cousin, it really hurts because I thought I'd come out to the family onthe near future but this has just made me loose my confidence.
I have an older cousin who is a lesbian and she's out she dose t know about me but this family membe who has come to stay with me dislikes her because of this fact and says horrible things about gay people specifically lesbians, she can't comprehend loving annother woman and even says things like "ill make out other cousin straight again" she's one of those people who think it's a choice and it's a phase and I use to think like ray so now I'm thinking what if it is. (Thinking it was a phase in the pas has left me lonely and detached)
I don't know what to do, I feel like I'm going to end up even further in the closet than before.

 

my twin's okay with it, my mum isn't she's always saying how its bit normal and if one of her kids were gay she'd be disappointed and wonder what she did wrong. she makes it clear she wants lots of grandchildren (she Dosent think that children between a gay couple count). There are alot more LGBT characters portrayed on tv, that seems to piss her off because the comments come rolling out "we know there out there but we don't have to see it" "there on all the channels now it's like you can't get away from them" everyone's gay now it's a fashion" there the PG versions