I have a dog. (And he's the absolute best).
But don't count me out as a "crazy cat lady" just yet. You see, not only do people think of "little gray haired ladies" as the "crazy cat ladies", but it's also used to describe single gals. I.e. Me.
It's a running joke, but I'm pretty sure that it's one of those jokes that people repeat all in good humor, but there's also a lot of merit behind it. The saying goes- "I'm single forever, I might as well go adopt a bunch of cats".