It's just the circle of life. Live in a remotely rural area with animals around and you're going to see pretty regular death. For instance foxes are beautiful, extremely intelligent, and amazing animals. They'll also systematically and sadistically kill literally every single chicken inside a henhouse, one by one, if they get in. In another instance a dog I loved more than anything as a child to young adult was killed by a wild boar - tusk straight into the lungs.

The same, by the way, applies to vegetarian stuff. The amount of critters being killed to keep them away from the veggies would probably shock you, especially in the rather inhumane way its sometimes done in industrial farms. Shooting, for some baseline, is considered one of the most humane ways of dealing with large pests.

I simply see nothing wrong, at all, with eating meat. It's a natural and normal part of life and also, by far, the easiest way to ensure you hit all your necessary nutrients without going overboard on calories - especially if you live an active life and/or are into things like weight training.