She doesn't have to. Sex and gender align for all but a minority. The distinction is irrelevant for our purposes.But why does she have to define male and female when you were discussing the definition of man and woman?
As for your definition of "Man" and "Woman"
The subject is a biological male, identifies as female, and is in competition with biological females. However you spin it, it's dumb.
Oh, I'm sorry you don't know what I meant by "balls" in the definition so here you go: "an individual of the sex that is typically capable of producing small, usually motile gametes (such as sperm or spermatozoa) which fertilize the eggs of a female".this seems to imply that for Man and Woman, you only require 2/3 of the standard medical definition of male and female - which is why I'm pushing on you to clarify a bit. (because even that 2/3 is a bit vague depending on what you mean by "balls" here).
Give it a rest my dude.