I once took a survival course and during it I had to kill a rabbit with my bare hands, skin it, process the meat, cook it, and eat it. I definitely wanted to make sure the animal suffered as little as possible, but I was in no way deterred. Most people through human history have killed their own food from time to time. It's not really a big deal.
I've caught, killed, and eaten fish before. It was certainly an interesting experience and teaches you a lot about yourself and the world to experience killing the animal you're willing to eat. I haven't done it with any bird or mammal, but do want to some day; mostly to prove to myself I'm not a hypocrite for being willing to eat meat but not kill it.
Yep. I've killed several smaller animals and processed them, etc. Not a huge deal to me.
I've yet to kill or process a whole cow, though I've broken down primals/subprimals.
I'm not sure how I would do if it was an animal I had raised. If I'm a farmer or rancher with a few dozen or hundreds of heads of cattle, probably no different. If it was a single cow... I might have trouble.
Everyone is different, though. Even some people I know who eat plenty of meat can't stand to look at processed carcass.
I don't mean this as an insult, because I think I would be the same way. I think what you described is a very privileged position of someone who has likely never felt real hunger. I acknowledge I might have the same feelings you describe about raising a single animal for food. Particularly for species that are more emotive. But that's because I too have a historically unfathomable variety of options and privilege.