I don't want to risk the wrath of the ladies here but there are very few, if any, games or sports where women can compete on an equal footing with men. If there were then we would see women competing against men at tennis, athletics, snooker, football etc.
Leaving aside the physical differences, it's always been accepted that women do not have the same spatial awareness as men. That's why they have more problems parking a car or squeezing one through a gap. For that reason they find it harder to track and intercept a ball which is why women's football is awkward to watch as the players have less ball control and tend to flap at crosses. For that same reason women are terrible at ball games such as snooker. They just can't judge the speeds and angles. I think darts is just another example of women not being able to judge angles and weights as well as men. A good woman will always beat a bad man of course, but the top men will invariably beat the top women.
Please don't anyone accuse me of bigotry. The results speak for themselves. Women never compete against men.