NT, If you're shooting fingers and right handed, the string fingers release the string to the left. The arrow should also be on the left -- the left hand knuckles. Mongolian style is using a thumb ring and that releases the string to the right -- Then you would rest the arrow on the thumb or right side of the bow. If for some reason you need to shoot off the right side of the bow, you will really need what we call a left handed bow to get the arrow rest on that side.
Sorry Ybuck didn't mean to steal your thread.