Liike yourself, I am cross dominant. Left-eyed, right-handed. If you are just beginning your archery journey, switch to left handed. The NAA advocates it for all beginning archers. There are numerouse reasons. Shooting wrong handed will always present alignment problems, unless you shoot with your left eye closed, like I do. If you shoot with one eye closed, you then reduce your depth perception, which will affect your shooting. Moreover, the squint factor will reduce your vision in the remaining eye by 20%. If you instead switch to left handed, you will have the added advantage that your stronger arm (right) will become your bow arm; allowing for a steadier hold. Even with experienced archers, the NAA claims that the switch can normally be accomplished in a couple weeks of practice, following which your scores will dramatically improve. Having said all that, I have to admit that I still shoot wrong-handed with one eye closed for the reasons Jawbone mentioned: money. I have too much invested in equipment to change at this point; bows, gloves, quivers, etc. But if you're just starting out, make the switch now before you become committed and you'll never regret it.

Jack