Girl's Behavior

She gave me a cute nickname; does this mean she's interested?

I have a very close female friend with whom I interact frequently. One day, apparently out of the blue, she decided to assign to me a nickname which I'm loathe to share due to its personal nature. In any case, I would have brushed this off as mere playfulness, but she later said she earnestly hopes her parents never hear the usage of said nickname. (These parents are quite strict in the areas of dating and relationships.) Could this be a sign of romantic attraction?
She gave me a cute nickname; does this mean she's interested?
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