Why do so many people find game hunting repugnant, even if you are going to eat the kill afterwards?

Here in the US, as I suspect many parts of the world, there is a history of getting one’s food off the hoof or paw. You did not have supermarkets with meat sections far back in the past. Is it because here in the US we have factory farms do the raising and killing people see no need for people to do it themselves, especially if they find it entertaining to do? People do not seem to have that big of a stink over fishing. If you are going to eat what you hunt, why is that so bad? It is not like you are going to fall the prey then leave it out there to rot if other animals don’t scavenge it.