It is entirely possible to be bisexual (sexually attracted to men and women) and also homo-romantic (romantically only attracted to one's own gender). People are much more complex than a lot of traditional, main stream ideas we've been taught.

Also, your identity is whatever you say it is, regardless of who you've slept with. I know people who identify as straight but have had homosexual sex too that they consider 'exceptions'. There is also the term hetero-flexible which basically means the same thing. I don't see why there couldn't be homo-flexible too. Or any other identity you choose for yourself.

I know there's a stigma and a lot of discrimination towards bisexual individuals which is something I just don't understand. A whole lot more people are likely bi than are comfortable admitting it because of the stigma. I'm sorry that you've had to deal with that and been hurt by it.