It's a normal reaction if it's not a process you're used to or raised with - after all, most folks don't have livestock that they eat. They get it from a store or someone else. Most people are used to the concept that killing something is a very bad thing. It's hard to "rewire" that thinking to one that it's normal to kill an animal to make food out of it - most especially an animal you raise. Deer are tasty critters, but usually one doesn't know it closely and raise it from birth and then shoot it - it's not really the same process as raising livestock for food.
There's a lot of care that goes into raising healthy, humanely treated livestock, and once you get over that hardest hump, you've got it made for having the best, freshest, most humane meat possible for food :)