I have no "real" idea what this medallion is, but I can speculate...
I'm guessing it is a tourist item - representing some kind of Native American good luck catcher.
The symbols are:
Crossed arrows = Friendship
Bear paw = Good omen
Arrowhead = Alertness
Cactus Flower = Courtship/Romance
Maybe it is related to a certain organization, but I couldn't find any.
I suggest you put it on a chain and wear it while hunting. It couldn't hurt.
DCMatt
P.S. I don't get the sense that it is "old". Maybe 1940s - 60's? Just guessing...