In some fanfictions, Minato could be Naruto's father in the context of the Kyuubi. Since Minato was Naruto's actual father in the original series and the Kyuubi was sealed within Naruto by Minato. So many fanfictions might expand on their relationship within the framework of the Kyuubi's presence.
Yes, there might be some fanfictions out there with such an interesting plot. Fanfiction writers often come up with unique and sometimes out - of - the - box ideas. However, this goes against the original Naruto storyline where there's no such relation between them in the official canon.
One possibility could be that it completely changes the power dynamics. A female Kami as Naruto's father might introduce a more nurturing yet still powerful figure. She could pass on different types of chakra or special abilities to Naruto in a way that is unique compared to the original story. For example, instead of the more brute - force - like training Naruto might have received in the canon, he could get more spiritual and intuitive training from his 'father' who, being Kami, has a different perspective on power and growth.
Yes, there might be such a fanfiction in the vast world of fan - created stories. Fanfiction often takes characters from different universes and creates unique and sometimes wild scenarios like this one.
There are a few. In some of these fanfictions, the idea of Kyuubi being Naruto's father leads to some unique plot twists. It might make Naruto more conflicted about using the Kyuubi's power. And it can also create some interesting interactions with other characters like Sasuke. They might react differently to Naruto if they knew about his true parentage.
Well, it could be anyone really. It might be some random ninja that Rouge had a relationship with. Or it could be a character created specifically for this fanfiction. Maybe it could even be a character from another village who had a secret liaison with Rouge.
She could be very wise. Since she is Kami, she would have a vast amount of knowledge about the ninja world, its history, and the nature of chakra. This wisdom would be passed on to Naruto, guiding him in his journey.
Well, in such a fanfiction, the Naruto world would be a chaotic mess. Naruto as Kushina's father would mean the timeline of events related to the Uzumaki clan and Konoha would be all jumbled up. His relationship with Sasuke would also be affected. They were rivals because of their different family situations and goals. But with this new family setup, Naruto's motives and Sasuke's perception of him would be very different. And Naruto's status in the village might be completely different too, as his relation to Kushina would give him a different kind of standing in the Uzumaki - related matters in Konoha.
The themes often include self - discovery. Naruto has to discover a whole new side of himself. Redemption can also be a theme, especially if the Kyuubi has some sort of past misdeeds. And there's the theme of connection. Naruto's connection to the Kyuubi is no longer just that of a host and a beast, but a father - son relationship, which changes how he relates to the power within him.