There is no charge, but there may be better options for a truly wild animal. Try Ijams.
There is no charge because they say that they don't have room for them. It'll be a month or more. But for " wild animals" I'm not so sure but they wouldn't take mine and said that it would be a month or two before they can and you have to sign up for that.
No charge for dropping off animals
You'll need to get hold of young-williams to see if they do any charging for turning in animals but they are not a kill shelter they find homes
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