Is it possible to have a non tidally locked moon?

Fo my question, I'd like the moon to orbit around a saturn-like planet without rings.

This moon would be located at a million kilometers away the host planet. the moon's size would be about 12 000 kilometers wide.

The moon would also be habitable and shelter a wide biodiversity and a stable climate.

Knowing that it wouldn't be tidally locked, it would have a 24 hour day and would take a few months to orbit around it's planet. How could it be able to do so? I hope you can answer me with a lot of details and thank you.

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Is it possible to have a non tidally locked moon?

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