Thats safer than almost any other sport including golf!!
If you only knew [:-]
I once hit a 7 iron and the shaft broke from hitting the ground and imbedded in my forearm. Had to have 15 stitches.
Another time my ball was lying in a hazzard just along the side of a creek. There was a steep rock bank in front of me. I didn't want to take a penalty and thought I could get it up and over the bank. WRONG!! hit the rocks and came back into my forehead. Pretty much knocked me out and may have killed me if hit in the temple. No cuts.......just a nice lump for awhile.
18th hole in a tournament a long time ago. I missed a putt which would have made me a pile of cash. Took the putter with both hands and rammed the head of the putter into my own head as hard as I could. I put a dent in my head about the size of a putter head.
A rules official backed up a golf cart once in a tournament and ran me over.
I have more sand in my eyes than there is on Miami Beach.

[8D]
Golf is dangerous.
Anyway................... enough about golf. If your husband practices common sense he is fine. He has as much chance of getting in a hunting related accident as winning the lottery. Most hunters are safety first and are very aware of what is going on around them. I wouldn't worry a bit. Like others said, it's probably more dangerous for him driving to his hunting location.