The impaled feline was found after going missing from a park for a few days, officials with the non-profit organisation One More Chance C.A.T.S. said.
An arrow had gone through the animal's head, passed through its oesophagus and then came out of its shoulder blades, a veterinarian who examined the cat told The Spectrum.
The vet removed the arrow and said the cat, named Quiver, is expected to survive.
Washington City police spokesman Ed Kantor told KUTV there are no suspects, and it is unclear whether someone shot the cat intentionally or recklessly.
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? firstname.lastname@example.org