I have yet to meet a deer that couldn't get over any man made fence when you ran up to it.
"Police are allowed to shoot a deer or other wild animal if it is injured or is a danger to itself or other people. Some officers at the scene thought the deer was injured, police said."
After the first shot or two, it was probably scared, then after the 4th shot it was probably injured, so then it was finally time to kill it.
