The animal's owner, Jane Holt, told The Leaf-Chronicle that she found Simon outside her Clarksville home on Saturday with the arrow protruding from his head.
"It was right by his ear; half was sticking out one side and half was sticking out the other," she said. "It was like he was running away."
She says she took the arrow out, and then she took him to Family Pet Hospital, where he was treated by Sarah Bendorf.
"He's a lucky guy," Bendorf said. "I've never seen a cat with an injury this bad, doing so well. He's lucky it missed everything vital, especially being shot in the head."
Holt, meanwhile, said she doesn't understand how someone could hit her cat with an arrow. She said she reported the incident to police and hopes to find out who did it.
"He's doing OK now," she said. "But it's good to make people aware when something like this happens because somebody might mention or hear something that could help find who did this."