As someone who never did get what "male" or "female" meant beyond anatomy, this is in one respect a non-issue for me. For myself, I just want to be myself and do what I enjoy and avoid stuff that rubs me the wrong way, and to me it's a no-brainer that other people would want to be who they are and do what they enjoy, etc. When I'm by myself, I mostly don't think about associating things with "male" or "female", other than anatomy. For this very reason, I have always needed a lot of time away from other people.
In another respect, though, I have to deal with a society that has all kinds of weird and messed-up associations between anatomy (innie vs. outie) and all kinds of stuff, and can make your life rather unpleasant if you cross the arbitrary lines they've set up. My inability as a child to be the person that everybody required me to be, based on my anatomy, was their excuse to make my life hell (a hell that I haven't yet managed to completely leave behind me.) So, at least for most of my life (which I lived as male), I haven't so much avoided "feminine" stuff as avoided getting caught doing feminine stuff.
But especially in the last 10-20 years, I started experimented with doing individual "feminine" things where other people could see them, so I could see just how much I could get away with. If people aren't going to make my life hell for it, I don't care whether it's "masculine" or "feminine."
I'm more or less familiar with what society calls "feminine" and "masculine," and I've noticed that a lot of what I like is labelled "feminine" and a lot of what I don't is called "masculine." So, for me, a big part of transition is about having society pigeonhole me in a box where there are fewer things I like that I have to fight society over. And a box where people who I want to relate to will feel less inhibited about relating to me the way I'd like them to.
Basically, in my mind, I don't link "femininity" and "female", etc. But I'm too old and have been through too much to want to fight society to get them to loosen up their definitions.