Is Kylie hissing at Shai? Does he try to chase her when she is running from him? Cats get stressed out when there is a change in routine, especially a new Home. Sounds like she likes you already. I hope Shai is not getting jealous. I wish you good luck with the introduction. Keep us posted. Greyhounds are so sweet and gentle, but they do have a natural prey Instict and like to chase anything that can move fast.