There was a thread a few months ago (maybe less?) about the same subject that went several pages long (I'm not bustin' on ya for not knowing, 'cause our search engine sucks rocks)... but a LOT of our members are right-handed and left-eye dominant.

I wrote in that thread that I am too, and have never had any problems with it.... Qualified expert with everything they gave me in basic training and MP school, never missed a target with the M-16 out to 300 yards, and I've shot dragonflys and swallows out of the air with my BB guns growing up by following their flight path and waiting for a momentary pause before shooting them out of the sky. Thousands of rabbits in the freezer with both shotgun and .22 would attest to the fact that it's not only doable, but can be done well.

Archery is no different.