Awe I'm so sorry.im not sure I'm just a person that took two cats in too. I would hope so. Have you tried putting them on Facebook. Call them tomorrow they should answer your question
The best thing to do would be to call your animal control officer for your city.
Yes, they take bunnies and other small animals, too. Like hamsters and so on. Don't dump your pets, people! Even if a particular shelter doesn't take the one you have, they can almost always refer you to someone who does.
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