This was my family when I was a kid. We never had a cat for more than 2-5 years because there were coyotes and pumas out there. Except for one cat who lived to old age. I think we had a dozen cats during my childhood. I remember thinking they were happier with their freedom, even though it meant their lives were short.
I know better now. I still think cats are happier when they can go outside, but it’s not worth the risk to their lives and also the lives of the local smaller wildlife.

Just make the coyote to be your pet at this point