One of only two possible choices for those who can only imagine black and white, yes and no, short and tall, stupid or smart. For such people, none of these things can possibly exist on a spectrum -- there's no gray, no maybe, no "average height," no "moderate intelligence." You get two choice and two choices only -- pick one.
In that case, a female would be the ovum producer. (By the way, your other definitions leaves out female animals. Birds and reptiles don't have periods, menopause, vaginas and such.)
This assumes that what makes a person uniquely themselves (the mind/brain) plays no part in their sexuality -- that it doesn't count in the least.
And yet, as Descartes said, I know I exist because I can think about me existing. So what do we call a person who thinks she is a female but does not produce ova? Does such a person have no right even to their own identity? Are you the identity that other people assign to you, or are you your own person?