I'll say pretty much what I said in other thread I answered this question in.
I think being a woman means one thing. It's the same thing for men, as well.
Is that who you feel you are?
The other details are irrelevant. Yes, gender is *supposed* to be a system to classify physiological differences between those with penises and those with vaginas, but that's quite a different discussion.
How you feel about what a woman is or should be is entirely yours to possess. If you feel a woman is someone who is warmer, someone who is perhaps more confident, someone who births children, whatever your definition, it belongs to you. Just keep in mind that it is not my definition, nor is it a global definition. There are plenty of women who never have children, women who are careless and cold, women who are completely consumed with themselves, just as there are men who carry those descriptions.
But the long and short of it is that people simply are who they are. There is no way to categorize humanity and character, so forget the categories and try to be what you feel you are. I am a woman and I don't need to prove it with my genitals. I do nicely with my personality. If you do not agree that personality makes me a woman, that is simply your cross to bear.
To put it another way, is it really going to be chaos if we let people define themselves?