How can someone humanely rid a cat from their property?

My parents’ backyard I’ve made into a kind of animal sanctuary. I’ve learned to co-exist with racoons which destroy the hummingbird feeders for the sugar water, and squirrels and chipmunks who uproot potted plants because they have no sense at all.

The backyard is a cageless aviary of a wide variety of birds—red cardinals, bluebirds, blue jays, mockingbirds, grey and brown birds, doves, woodpeckers, even hummingbirds. They coexisted with each other and with squirrels and chipmunks and less so with raccoons

But the birds rarely come now, because a cat as taken up residence in the yard, He / she is ALWAYS out there when I go outside, and runs. The cat is after the birds, of course, and has killed a few.

Now, I love cats, And I recognize a cat is only doing what cats do, Killing rodents is why we accepted them at first, And I recognize that a cat might be someone’s beloved pet. The cat has a right to exist, and the owner of the cat has a right to own a cat, and that cats have a right to be cats and do what cats do.

But somewhere, human rights come into play and its my yard (my parents actually), and my decision as a human is to reserve my yard for the birds and other wildlife,

My thought is to trap the cat as if it were a raccoon or opossum and take it to an animal shelter. Or bring it into a pet store that allows you to bring in your pet, but leave it there and deny that I was the one who brought it.

How would you rid a cat, humanely? I’m trying to protect the birds on my property. Cats have rights too, but mine supersede in favor of birds.

P.S. I’ve told the cat that we don’t have a kitty cat, and that there’s not supposed to be a kitty cat here. The cat moves on. But comes back. And I’ve thrown things at the kitty cat that land just a few feet from it. But it always comes back very soon after I’m gone.