Naw, just give the dog to a rescue, even a no kill shelter would have been fine, that’s likely a pure breed GWP (German wirehair pointer). There aren’t GWPs just running around loose on the streets, not hard to re-home.
Just an fyi on no-kill shelters, they are no-kill because they are incredibly selective on animals they take in, they are specifically looking for adoptable animals, this would be one they would take on a heartbeat. Hunting dogs killing chickens is an INCREDIBLY common problem.