Fics like Fox On the Run

At the end of the world, Kaguya's victory is imminent. Naruto and Kurama are the only ones left fighting and know they have no chance of survival. The Sage finds the power to send one of them to the past to stop Kaguya from ever being resurrected. It was supposed to be Naruto, but at the last minute, Kurama finds the fate of the world in his paws. Now, if only he could convince his previous host and her husband that he really is here to prevent the world from ending. AKA yet another time travel AU

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