I have always been right eye dominant and just found out I have astigmatism only in my right eye. My left eye is clearer (glasses are coming in this week to fix this) but I still shoot right handed.
My girlfriend is left eye dominant but right handed and can not close her left eye. We got her safty glasses and put electrical tape over the left side . she has no problems
Point is , go for it and see how she does.
"If you put a Yeti sticker on it, you'll get another 50 FPS"-soonerorlaters