Then you're looking for a gay man.

Looking for someone who doesn't prefer women, i.e. no preference bisexual/male preference bisexual/gay man

Doesn't mean they like women more

But that's what a preference for women is

"but if you marry a man, aren't you just straight?"

No, you're sexual orientation doesn't change. This is about sexual preference, not orientation. Not being a woman, I cannot satisfy the preferences of someone who prefers women. I sorta apply this to everything in dating. If you're poly, I'm sorry, but we gotta break it off. I'm mono, and I'd rather them be in a relationship they'd prefer. Same logic I follow for preference amongst fellow bisexuals.