Which on the face of it is not true -- trans men can give birth, and aren't women
The sense I get from the article is definitely that she thinks people who can't give birth are unworthy of the title "woman" and that follows with the comments about menstruation at the bottom. Aka, if somebody hasn't bled through their shorts in gym class, they are not a woman
it does not imply there are no woman who can't give birth.