Hello , my rooster was injured by a dog today. He is missing a tail and feathers on his butt approximately 2 by 2 niches of open skin. I treated it with antibiotic ointment right after the bite. He seems to be fine eating and drinking. He is staying in a coop with 4 hens. It's about 20 F. I need to know if I should keep him inside the house instead during the nights, at least for few days. Please help with your advice.