We do have words! But it took LOTS of them to convey what I was trying to say, and I don't want to go on for a couple sentences every time I try to self identify! It would be great if there were like, a word, or a two or three word phrase for what I just said, but if there is, I don't know it.

Yes, there's bisexual and omnisexual and pansexual and queer, but in my case, those are even less useful and descriptive, because they tend to be interpreted as implying gender fluidity or an interest in having sex with both sexes, which, no. But maybe I am missing an option?