Kathy, you could always try alleviating your cat's boredom by getting her a kitten....
Get thee away from me, temptress! Actually, I was seriously considering it on Thursday, when one of my co-workers came over and told me about a cute boy-kitty that her husband rescued from the street (one of those "he just came over and weaved around my ankles, meowing pitifully!" stories). They took him into the vet, had the shots done, chip installed, checked him for neutering (he was) and declawing (front ones done), and he was about two years old and the vet thought he had been on the streets for no more than a month. One of the hubby's buddies decided to give his cat a companion, but said cat didn't appreciate the new housemate and roughed the boykitty up some. At this point of the story, I was definitely considering saying, "Is he available for adoption?" but found out that an ex-co-worker had recently lost her cat to old age and was looking for another one.
I don't know how Amarna would have handled a flatmate, anyway.