The signs say,
Rutting deer can be aggressive.
Do not approach the deer !
The dilemma, what do you do when a large stag decides to come trotting over towards you ?
If I was reading his body language correctly, this was not a happy stag. Particularly as he had just been chased off with much bellowing, roaring and fake charging by a much larger dominant stag that had a very large herd of females.