Sharp: Closing a door

>Now, if Linus (example) would treat her nicely and not treat Greg-KH (example again) the same way, just because she's a woman and her posture as woman (not as herself) would be the cause, that would be discrimination.

Presuming that she needs special/gentle treatment because she's female is definitely sexist. Giving her special/gentle treatment because she asks for it is being polite.