Rzbk:
Guess where the ball went?
Yep, straight backwards toward me, not toward the hole.
Which tells me that you were hitting right-handed and facing away from the hole.
The "Avatar Movement" feature allows your avatar to swivel as you move your aiming mark, in order to show a more realistic angle. If you aim towards the teebox instead of the green, you'll appear to be hitting left-handed, since the camera angle remains static.
Try it next time you're hitting a shot. Move your aiming mark forwards and backwards, and watch as your avatar flips 180 degrees back and forth.
PS: if you look closely at the screen-shot you posted...the ball is clearly on the camera side of your club, your glove is on your left hand, and your left hand is higher up on the grip than your right....all of which suggest that you're hitting this shot right-handed.