I would switch to match your dominant eye. For seventeen years I shot left handed since I was a lefty. Never shot a bow all that great. Then I learned about the dominant eye. Since my right eye was dominant, I switched and in no time I was shooting better than I ever had before. The worse part of the switch was for a while I would grab the bow with the wrong hand.
I couldn' t see myself wearing a patch and I thought about closing an eye. But if a big buck strolled by would I remember to close that eye! Probably not, and I didn' t want to take that chance.
Dan