Killing Deer is ineffective

It's counter intuitive but deer don't just reproduce each year, thinning the heard makes them stronger and they reproduce at a more rapid rate.  This is the basis for a well known process called rebound.

"Hunting simply decreases the competition for food among the animals that survive a hunt. ... The animals left behind will be better fed, become stronger and their potential for reproduction will increase."

"The well fed doe may also reproduce at a younger age (and thus produce more fawns during her lifetime), and the incidence of birthing twins or triplets increases."

"even after decades of hunting, deer numbers remain high in much of the country. "

For Linda Heinberg's full article go here.