I'm lost: is the cat bleeding? Is that why you say he's hurt? How is the cat indicating his distress?
It may sound weird, but if the cat's not bleeding, I think it may be just a game. My BFF's pyr, Mask, used to carry a couple of the cats in the neighborhood away from his sheep like that, the whole neck right in his mouth, like he was going to bite the cats' heads right off. One particular fat old apricot tiger cat would just run right back in and tease Mask to make him carry her out over and over, every day for like 4 years, until the cat died of old age!