I don't know if this answers some of your questions or not, but...
One of my first three teachers was a woman.
There are three women who teach locally and there are many women in their classes and in other classes.
About half of the the students I've had have been women. One of them told me that she went to an all-women's push hands afternoon, and the women there were every bit as competitive and aggressive as men are.
There are some general structural differences between men and women, such as the angle of the thigh bone, at the knee, to the shin bone, but overall I think that the similarities outweigh the differences, when it comes to execution.