Hi, I work at a shelter , or pound, for abandoned or lstray animals, usually dogs and cats and some wildlife.
You do some really great work.  What do you normally do with the animals you find in the wild.
If they are injured, our vet will come  out. While we are a no kill , it is sometimes policy to euthanize sick or dangerous.
What does euthanize mean?
dogs. Critics believe the new term "animal shelter" is generally a euphemism for the older term "pound". The word "pound" had its origins in the animal pounds of agricultural communities, where stray livestock would be penned or impounded until claimed by their owners.
United States & Canada.
In the United States there is no government-run organization that provides oversight or regulation of the various shelters on a national basis. However, many individual states do regulate shelters within their jurisdiction. One of the
cat's life. They must eventually get another round. Capturing a feral cat can be difficult, and some caretakers do not care to take the animal to the vet again. If they do not get their vaccinations when they are due, the cats can contract diseases and spread. Cats are three to four times more likely to get rabies than other domestic animals like dogs. 
References.
http://www.takepart.com/article/2014/03/31/sorry-cat-lovers-trap-neuter-release-flat-out-doesnt-work
https://www.aspca.org/animal-homelessness/shelter-intake-and-surrender/pet-statistics
External links.
- Arizona Humane Society’s Working Cats Program
- Best Friends Animal Society: L.A.