There is stuff that can be done for a broken coccyx. I had one, and after much research on my part, telling off the specialist who wouldn't look at my xrays or listen to my symptoms, and finding a better specialist, I had a coccygectomy, surgery to take it out. As it turned out, mine had been not only broken but broken off, and was floating around in there all sharp edges, ow. Going from sitting to standing was almost unbearably painful before the surgery. It was no fun, and major recovery, but I'm so glad I had it done.

Hopefully Rob's isn't broken, just bruised. But ow ow, poor autographedcat! Definitely don't want that happening again. I'm glad your dignity was saved. Certainly cats never like to have someone watch them slip up.