I would agree with Saga and try to have the sim reset, that is when I have had "unclickable" cats as well. I even had a friends offline me all the times I tried touching it after the sim was reset. If it continues file a support ticket and they will be sure to help you out!
Hope they give you a wonderful kitteh after all their misbehavior!
My kitten box will not give birth
KittyCatS lover and LazyCats auctioneer. 
