How do you know that it isn't in pain?
It has a broken wing. It won't show it. It is a prey animal. I'll say broken bones hurt.
If the skin isn't broken and it is kept immobilized, it should heal. Or get infected. Broken skin will lead to infection quicker. Infections hurt, too.
Best...
I recommend culling.
Housing him with another male depends on the two males, available space and a lot of hiding places. Expect problems, but it has been done before.
When I separated an aggressive male, he crowed constantly. They don't like being alone and will call for mates.
How did the...