For me, it is the way that other women accept me more. I'm included in conversations that I wouldn't have been before I transitioned.
It was particularly striking when I announced in my Unitarian congregation that I was transitioning. Even though I didn't look any different or act any different, and everyone knew who I was and had been, the women in the congregation no longer acted in that subtle guarded way that women do with men.
I still feel sort of like an outsider, but given my life (complex PTSD), I don't think that will ever go away completely, but I feel a lot more accepted and a part of a community than I ever did with men. I spent most of my adult life trying to figure out how to be a part of a male community, and got nowhere, with women (now) it just happens naturally.