After consulting with Brother Google to see what he thought of this Sheriff Callie, I agree that (if she were real) she would probably be a good match for a Lynx.
My only problem with it is this "Cowpoke Code" that she enforces in the community. It's a code of decency, honesty, being neighborly and all that stuff, but "Cowpoke Code" seems pretty unfair to the cows who are being poked.