LOL I would:
1) cull of the bird and just not say a word about it.... and if asked...."I haven't seen him in days... " you wouldn't be lying- technically
2) talk to the wife and ask her if you can cull the rooster without saying a word to the daughter. Maybe explain to her that the bird has frostbite and is in pain, and that if a predator gets to it, it would suffer greatly.... if you cull it, it wouldn't suffer as much. Maybe the trick is keeping it from the daughter. And if the daughter asks, just respond with the answer to #1.....
1) cull of the bird and just not say a word about it.... and if asked...."I haven't seen him in days... " you wouldn't be lying- technically
2) talk to the wife and ask her if you can cull the rooster without saying a word to the daughter. Maybe explain to her that the bird has frostbite and is in pain, and that if a predator gets to it, it would suffer greatly.... if you cull it, it wouldn't suffer as much. Maybe the trick is keeping it from the daughter. And if the daughter asks, just respond with the answer to #1.....