I have a diffrent take on this. I am left eye dominant and shoot right handed and over the years I have trained myself to shoot with both eye open which IMO is a huge advantage if you shoot with a peep sight.

If you are right handed and just getting into the sport you will find a better selection of bows in right hand models,new or used if you choose. It's unfortunate but that's been my experience.

I wouldn't let eye dominancy decided what you should buy. Shoot both left and right, find what feels the most comfortable and go with it. That's how you'll find what is best for you.