I think the only acceptable reason would be to help a farmer chase them off of his crop fields. I have to believe the OP was just joking about chasing them into the woods for hunters as he seemed sensitive to the deer's plight when one could not get over the fence. He held back until it was able to find an opening in the fence to go though rather than charge it and cause total panic where it might have injured itself. Again, I feel this activity is fine at the request of a farmer, but not just for the fun of it. Might actually represent a drone for hire opportunity.