It took a full month for my 12 yr old cat to accept my new kitten when I brought him home. (and by accept I mean "tolerate") I know cats and dogs are different, but I think if you make the introductions VERY slow, it can work. Letting them play in the yard together during week 1 is definitely too much too fast. My brother has a Chi and I know how high strung they can be, so this will probably be slow going. But I think it can be done.