When I was growing up, my sister got a cat and named her Princess. The cat eventually liked me more than my sister and it became mine. The name stuck. I just called her "psst" and she would come just like any other cat whose ears perk up when they hear "psst." So her name became "psst." Awesome cat. She died at 18 yrs old.
My cat's formal name now is Kuma which means bear in Japanese. Although, I gave him the nickname "Snoop Dogg," "snoop" for short. The cat was always snooping around, would always greet me at the door when I came home like a dog, and was all black, so I called him that. Awesome cat. Friend made me take him because she found him and it was right around halloween. So, I had to take him so no freak would sacrifice a black cat for Halloween.
I would suggest "Kunkun" which means "snoop (smell with your nose)" in Japanese. Or you could call her "Neko" which means cat in Japanese.