I have seen this condition in several people including my wife. As far as I know it is not possible to change your dominant eye from what it naturally is. The best solution with rifle shooting is to learn and training your body to switch to the side on which you are dominant eyed. I would think the same would apply to shooting a bow. I would think the fact that you have not shot one much before would make it easier for you to learn to do so. Best wishes with it.
It is amazing what can be accomplished with practice. My wife has learned to shoot very very well on her non dominant side.
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Ranger
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