I've read a few threads where people - mostly men - have been asked to retrieve a case from an overhead locker by a women. I think it must be harder for women to lift weight above their heads. It's not a good look on a women either :-)

My husband always stows the luggage in the overheads but if I had to do it myself sometime I would probably ask the FA or consider putting it into that place where they put the suitcases (can't remember what it's called!!)