Cats can actually go ages without going IYKWIM. Ours have been locked in the living room overnight (by accident) a number of times and have never soiled. @kirsty it sounds like your cat is still disturbed, I can't blame you for not wanting to live with that.
Sorry Lisa, I have no advice, I would probably have tried to treat it as a spot stain. They'll have used the rug because it's got pile so they feel like they are "hiding" the poo......
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