Would it be illegal to call my lingerie business "Kitty Purry"?

I'm thinking of like Perez Hilton/Paris Hilton, but i don't want Katy Perry to sue me because my business's name sounds like her name or something. I don't think Kitty Purry is trademarked or anything. Could she sue me anyways? I know it's the name of her cat, but I think it'd be a really cute lingerie store name. Would people make too much of a connection between Katy Perry and my store, or would it be like a Perez/Paris thing?