Wow, this has taken a tangent.

There really is no right answer to this question. As I said I would contact the DNR in this specific case and if they said no I wouldn't kill the deer. There is no guarantee that it is going to die anyway. There was a photo sequence in D&DH I believe that showed a yearling doe with an infection on its chest that started out the size of a tennis ball and grew to the size of a beach ball and was almost dragging on the ground in a few weeks. Later photos showed the sack had broken and weeped and it eventually shrank to nothing but some loose skin. Deer are incredible animals.