Probably reaaaallly depends on the organ.

Some of the very old very large ones have some strength+endurance requirements.

Much newer ones with electronic actions and whatnot don't have any such problems.

Majority of organists are men (in the US at least).

My wife plays the organ; it looks like dark voodoo magic, with two hands and two feet flying at the same time and so many different types of sounds coming out. She sticks entirely to electric organs.