This is where it gets a little more complicated. Probably in an attempt to use his mouth to free himself, the deer had gotten some fiber wound around his mouth. So the man filming realized that if he were only to cut the soccer net and leave the deer to run away, the deer would still most likely be unable to get his mouth open. Without being able to eat or drink, the deer would still be doomed.
So the man gets very close to the deer, trying to slip the small clippers in between the deer's face and the net wound around. The deer, naturally, only gets more worked up, eventually kicking the man "pretty hard." That's the price you pay for doing good deeds these days.
After several agonizing minutes, the man finally frees the deer, which rockets away on unsteady legs. We don't know what happens next, but even if the deer's antler was broken off (and it is possible that this later in the season, as deer prepare to shed their horns), we assume the deer lived - and maybe had a few cool scars to show the does.
See the whole video below!