I don't mind killing something I eat (but I like to do it swiftly), but I always feel bad when predators are being shot. In their natural habitat, predators will not pose a threat to wildlife. I always have the feeling that hunters shoot predators for the trophy or to exterminate competition. No one has yet made a convincing case that in Germany wolves, bears, badgers, foxes and lynxes ever posed a threat to wildlife or to man (unless under the most unlucky circumstances and you can always single that one "maneater" out). Livestock is insured.
Now if that alligator posed a threat to people, then it's ok to bring him/her to the refuge, so much the better if he/she has a good life there. I like alligators, archaic beauties they are.