Yesterday my EE rooster (Laddy) beat up my D'uccle rooster (Bae). He broke a nail and cut open some of his comb. I cleaned Bae up and put Kwik Stop on him to stop the bleeding. Once it stopped bleeding the injuries didn't look too bad, so I put Bae back in the coop and took Laddy out. Laddy is now living with my ducks. But last night/this morning Bae's head was covered in blood. He still ate with the flock, but I brought him in and cleaned the blood off and applied more Kwik Stop. Yesterday I thought the injuries were small enough that the other chickens would leave them alone, but now I know that won't be the case.
So my question is, the only place I can keep him separate from the flock is inside my house. Since it is cold outside and he is acclimated to the cold, will keeping him my warm house until he is healed cause him to become susceptible to the cold again, or will a few days not matter?