There is no difference in shooting right or left wing as a right or left hander. Just be sure to use all the same wing fletch on the arrow. You could have some left wing and right wing fletched arrows in your quiver and I bet you will not see any difference in your shots at trad distances.
The only difference in which wing fletches to use is when you use single bevel broadheads. If it is a right bevel, grind is on the right side if looking down on the head, use right wing fletching. Left wing for left bevel.
Hunt hard and have fun!
Ray