I don't think we could ever agree on what sport requires the most raw athleticism. Let's see if we can get a somewhat majority opinion on what sport requires the most technical ability and can't be gotten by with athleticism alone.
My vote would go out to Major League Baseball. Yes you can be a fat slob and be a good pitcher, DH, 1B, maybe even a catcher. However you can be the best athlete on the field and not be the best player, there really isn't a position on the team you can get by on physical athleticism alone. you can be a speed demon but if you cant catch who cares, you can have a great glove but if you cant make great throws who needs you, you can be super fast but if you cant get on base what good is it. you can have a rocket arm but if you have no control what good does it do. you can be a big jacked muscle man but if you can put wood to leather youre just big waste of a roster spot. Quite possibly the most multi faceted sport mankind currently engages in.