To each his own, but my opinion on the subject is: If a deer is born or raised in a fenced in area ( no matter how many acres ) then it can not be considered wild, if that deer is shot then it can not be considered hunting.

Definitions(Merriam-Webster Dictionary):
Wild- A. living in a state of nature and not ordinarily tame or domesticated
B. growing or produced without human care or aid
C. not subject to restraint
D. not inhabited or cultivated
Hunting- pursuit of game
Game- wild animals hunted for sport or food