ive been shooting guns since i was little, and until hunters' safety i didnt realizei was left eye dominant, but im a righty. ive always just shot w/ my left eye closed and everything seems to be working fine. id say if shootin a bow not made for the hand ur shootin it w/ works fine for you, then stick with it. with some practice you should be able to overcome any problems, except the whole quiver thing that was mentioned before, not much you can do about that.