Whatever games there are for women to do, I imagine they would be designed for the woman to be wearing a dress/skirt - so no climbing could be involved. I kind of doubt that they would be included in any game with weapons (including the knife throwing). I don't remember reading any story wherein a woman took part in any tournament or games. Usually they sit by and be boring.
Not to say we can't break the rules a bit.
What about board games, like
Nine Men's Morris?
No time for more suggestions just now...