Be rid of her
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The Grubby Kitten may be adorable, but she's troublesome. And malodorous.
Game Instructions: Do this if you want another Connection-related pet.
A fair exchange
You introduce the kitten to a bath. Some considerable time later you've got a very saleable animal. The Duchess, whose love of cats is something spoken of in whispers, is only too keen to give you something valuable in return for her new pet.