Yes, there are likely such fanfictions. In the Naruto universe, Naruto has a special connection to the Kyuubi. Fanfiction writers often explore unique relationships. They might imagine Naruto and Kyuubi as mates in a way that delves into their shared experiences, like Naruto's use of the Kyuubi's power and how that could be translated into a more intimate, mate - like bond in a fictional scenario.
No. In the Naruto series, Naruto is the host of the Kyuubi, not its slave. Fanfics might deviate from the original concept, but in the official story, Naruto has a symbiotic relationship with the Kyuubi. He gains power from it and eventually befriends the Kyuubi spirit.
Sasuke often appears. Since he is Naruto's rival and friend, his relationship with Naruto might be affected by the Kyuubi's influence on Naruto. Kakashi could also be there, as Naruto's teacher, he might notice the changes in Naruto due to the Kyuubi's new role in his life.
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.
Their relationship could also grow through mutual respect. The female Kyuubi respects Naruto's strength and determination, and Naruto respects her power and the fact that she has been trapped for so long. This respect can lead to a friendship or even something more as they rely on each other more and more in difficult situations.
Sasuke could be quite popular. His complex relationship with Naruto and his own power could add interesting dynamics to the fanfiction. For example, he might be jealous of Naruto's bond with the Kyuubi at first but then come to understand its importance.
In many fanfictions, Fem Naruto might show kindness towards the Kyuubi. This kindness could be something the Kyuubi has never experienced before. For example, instead of just seeing it as a source of power, Fem Naruto might try to understand the Kyuubi's past and pain. This could lead to the Kyuubi gradually opening up to her and them developing a deeper bond.
Well, Kyuubi might influence Naruto's growth by providing him with a sense of power from within. Since Kyuubi is like a mother figure, she could be a source of emotional support too. Naruto may draw strength from their connection, both in tough battles and in dealing with his own insecurities.
Well, the Kyuubi might use its chakra to soothe Naruto's emotional pain. It could send warm waves of its powerful chakra through Naruto's body, making him feel more at ease and less heartbroken.
Well, it might be that in the fanfiction, Naruto goes to the frozen waterfall to have a conversation with Kyuubi. They could be discussing Naruto's growth as a ninja and how Kyuubi's power can be better harnessed. The frozen waterfall setting adds a sense of isolation and mystery to the encounter.