I haven't RTFT but got far enough to see that Jack made the cheap shot of "But what about women who born without a vagina?". Sorry Jack, but expected more from you.
This and many similar threads would be avoided if only people had the habit of using dictionaries when they are in doubt about the meaning of a word. From any dictionary:
Woman = Adult human female, where...
Female = Of the sex that can bear young or make eggs.
It doesn't matter that some women's reproductive systems are faulty or that a few are born without vaginas. They are still of the sex that can make eggs or bear young (Female). That are not of the sex that can make sperm (Male).
Adult female chicken = Hen
Adult male chicken = Rooster
Adult female cattle = Cow
Adult male cattle = Bull
Adult female horse = Mare
Adult male horse = Stallion
And in exactly the same way and for the same reasons, since we are a sexually dimorphic species like all other mammals...
Adult human female = Woman
Adult human male = Man