[user104658]

To be fair, when we're talking gender identity that's where there really SHOULD be a distinction.

"Man"/"Woman" is a social gender term and thus open to interpretation; the idea that a man can become a woman is fine and certainly, the idea that gender roles are almost entirely social constructs seems quite likely.

"Male"/"Female" should be reserved as biological terminology because, otherwise, there IS no meaningful biological terminology and that presents a whole host of problems.

So a male can be a woman, but a male can't become female.