Birdsonghill
Crowing
12 gauge shotguns are very effective coyote control. I try and avoid shooting all animals, including coyotes, but when they are raiding your livestock and next to your home it is time to defend yourself and property. I only free range a handful of roosters to look at and eat ticks and such, mainly because of the large predator and stray dog situation in my area. Some local government agencies will loan out large live traps that I have used successfully with jack mackerel as bait, if you can't bring yourself to kill the coyote. Good luck! The advice of the others to clean up the hens wounds, treat with AB and separate her from the flock is sound advice and she likely will be fine. I have had far worse injuries over the decades to birds who recovered well with some attention and isolation from the flock for a short recovery period. Best wishes for your flock.