Yeah, a small percentage of the population are "cross wired", but not too many. My wife is one. She shoots a pistol right handed and is left eye dominate. She just shifts her head over behind the sights and does very well. She shoots a rifle poorly and a shotgun even worse. It is always good to know which is your dominate eye.
I"m the exact opposite. I'm right eye dominant but do many things left handed including writing; I shoot a handgun left handed (two hand grip) and a rifle right handed.
So I shoot a deer right handed; but when I gut him, it's my left hand holding the knife.