Are some cats never able to tolerate a second cat in the home?

olivia p asked:

I have tried twice to bring a second cat into the home. My 9 year old cat, Katy will become depressed and urinate on shoes and throw rugs every time. I end up finding a home for the second cat and after a week or so Katy returns to her old self, using litter box and wanting affection. My question is, are there some cats that will never tolerate another cat in the home?

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