I love my GF, but she's close-minded

So my girlfriend, despite being a lesbian, is very close-minded about non-cisgender identities and orientations that don't fall under 'straight, gay or bi'.

Which is really difficult for me because I'm genderqueer AND asexual. I go from female to male to neutral to somewhere in between throughout the week and I while I love her with all my heart, I don't feel sexual attraction to her or anyone else. That's just who I am.

I had to explain to her that I was asexual and she didn't take it well at all. I tried to tell her that I still was willing to have sex with her and wanted to have sex with her, it's just that I saw it more as an expression of intimacy because I don't feel sexual attraction.
She focused on the fact that I wasn't sexually attracted to her and just took offence at that instead, which really hurts because it was really difficult coming out to her.

We've sorted it mostly now, with us agreeing to disagree. She said she would just view it as 'we both want to be intimate with each other' and said that that's all that is important. Which I was thankful for but it also hurts that she isn't willing to accept me.

Because of this, I've been too scared to talk to her about my genderqueerness, and make myself dress feminine if I'm seeing her, even if I'm male or neutral that day.

I love her very much and she loves me too, but I just wish I could talk with her about this.