What a dilemma. It might help to identify all options, poor as they may be.
1. Allow "nature" to take its course, wherever it takes us.
2. Euthanize now and spare you both further stress and pain.
3. Assume the hen will die without extreme measures, attempt those extreme measures and accept whatever comes of it.
Unfortunately, as you can clearly see, no good thing lurks behind each of the three doors. But each choice will ultimately bring relief
1. Allow "nature" to take its course, wherever it takes us.
2. Euthanize now and spare you both further stress and pain.
3. Assume the hen will die without extreme measures, attempt those extreme measures and accept whatever comes of it.
Unfortunately, as you can clearly see, no good thing lurks behind each of the three doors. But each choice will ultimately bring relief