#1, the PGA is not all-male in the same way the LPGA is all-female. The PGA is open to PGs who qualify.
#2, a female golfer could, in theory, win a PGA tournament.
Why not leave the issue up to the number of strokes she takes to get the little white ball in the hole?
Yeah, really. I'm no golf expert, but I have played a few times, and I honestly don't see where the obvious male/female physical differences are going to play any major role here. That game is 90% skill, 10% strength (or in my case an even 5% split on strength and rage!).