Some time back, we found a fox trapped in one of those noose type traps, set by a gamekeeper. He clearly hadn't checked his traps for too long as the caught fox had clearly been there a long time, held right around his body, squeezing tighter all the time. OH released it and it bit through his finger in thanks, but then tottered off with a backwards smile.
We would never leave an animal in distress like that anywhere. That incident happened to be well away from here. Here, that's what guns are for.