Very disingenuous of you. Sport is about more than participation - it's also about winning. Why do women have to lose out on the possibility of winning if males are allowed to compete alongside them?
Winning isn't the reason why women have their own category in sport. Even if we grant that men are stronger, faster, etc. etc. than women, there are still women's categories in sports in which men would have absolutely no advantage over women at all.
How could men have any biological advantage over women in darts or snooker, for example? And yet, there are women-only categories in darts and snooker.