Why is golf so hard a game to play well?
Because it requires a seamless coordination in the right sequence of movements of all body parts concerned, with just a very little margin of error allowed.
More fundamentally, it is also because virtually everything that matters about the game of golf is so counter-intuitive:
To shoot the golf ball up airborne, you have to strike the club down;
To swing the club with your arms, the whole body motion has to start with your feet;
The harder you want to hit it, the more you have to restrain your arm from coming down too soon.
Indeed many a times a counter-intuitive approach to problem solving is also the way to go in real life away from the golf course.