Oh no!

I know this sounds like an odd way to deal with this, but is it possible to start leaving food for him/her further out somewhere? That way he/she would be well fed and wouldn't need to stalk the cats, and if fed further away, would keep him/her away from your site altogether?

Of course, then who's going to pay for the food, and if you start feeding one, you know more are going to show up possibly making the problem worse...... Anyway animal control can come in and remove him/her to a more "appropriate" setting?