We are an "open admissions" shelter meaning that we accept every animal into our shelter. We do not turn away any animals at our door. We evaluate every animal and if the animal is deemed adoptable, it will not be euthanized. If it is determined that the pet is not adoptable due to either behavior or medical issues, then it would be humanely euthanized.
A no-kill shelter would simply not accept an unadoptable pet at their door, requiring that this animal be brought to our shelter.
Sometimes a home cannot be found due to the animal's temperament, age, general health, etc. If you do turn your animal into the animal shelter, be sure to tell the office staff as much as you can about your pet, i.e. housebroken, likes to ride in cars, does not like baths, does not like other cats, gets along with other dogs, etc. This will help in the adoption process.