Are you going to argue that Annaka or any other woman would win equally as often as Tiger or the other "best men" on the PGA tour? How many times are you going to keep changing the question? The original question asked for any sport where a top woman could beat a top man more often then 1 time out of 100. Every time you get an answer you don't like, you change the question.
No, Soerenstram would not win "equally as often", but I do think she's capable of winning if she played the tour every week.
I never even thought of archery or fencing or chess or lawn darts or whatever when I said sport. But that's how far you had to go to find one. Good for you. Get back to me when the Annaka beats Tiger or a WNBA team beats the Lakers. Annaka is playing well and some male feminists here are trying to parlay it into a gender neutral society.