I am right handed but shoot rifles left handed due to the very poor sight of my right eye. When I shoot pistols , I use my right hand but seem to hold them more to the left and use my left eye and place the pistol about where it would be if holding it with the left hand . It may look a little strange but it works for me. It has never really been a problem and when I took my HCP class I shot the best score in the class.
I would suggest maybe covering the right eye and practice . Sometimes we just have to adapt .