It's difficult to say for certain. Fanfiction can cover a huge range of ideas and concepts. While Naruto has its own lore and established family relationships, the idea of bringing in Ahri as Naruto's mother and a female Kyuubi in a fanfic is a very unique and unexpected combination. There could be some very small or new fanfiction works exploring this idea, but it's not something that would be easy to find without a dedicated search through the many Naruto - related fanfiction platforms.
I'm afraid I don't have any to recommend. The combination of Ahri from League of Legends being Naruto's mother and involving a female Kyuubi is a very specific and rather rare concept. You might have to dig deep into the Naruto fanfiction archives. Check the Naruto sections on different fanfiction platforms, and look closely at the tags and summaries to find something that might match what you're looking for.
In some fanfictions, Naruto's mother, Kushina, has a special connection with the Kyuubi. For example, some stories might explore how Kushina's chakra influenced the Kyuubi's behavior. Since she was the Jinchuriki before Naruto, her relationship with the Kyuubi could be a rich source of plot development in fanfiction.
Sure. In the world of fanfiction, the possibilities are endless. A fanfiction with a female Kyuubi as Naruto's mother might be based on different interpretations of the Naruto lore. It could delve into the idea of the Kyuubi having a more nurturing side, which is a big departure from its traditional role as a powerful and somewhat menacing force in the Naruto series. This type of fanfiction might also introduce new plotlines related to Naruto's family and his place in the ninja world, as having a Kyuubi for a mother would surely change a lot of things in his life.
It could mean that Naruto has a more powerful and mysterious heritage. His abilities might be even more special than previously thought.
One type of fanfiction could be where Kyuubi's obsession with Naruto is rooted in seeing Naruto as a symbol of change. Naruto, with his determination, might make Kyuubi, who has been trapped for so long, believe in a different future. In this kind of fanfiction, Kyuubi could constantly be trying to protect Naruto in his own way, even if Naruto doesn't fully understand it at first.
There probably is. Fanfiction is a place where writers can reimagine relationships. If Kyuubi was Naruto's older brother, it could rewrite many aspects of Naruto's life. For example, Naruto might have had a different upbringing with Kyuubi around. And it could also affect how Naruto deals with his enemies, as he would have the power and guidance of his older brother Kyuubi. It's a really interesting concept that fanfic writers might explore.
There could be. Fanfiction is a vast world full of unique ideas. A Fem Kyuubi as Naruto's mother would be an unconventional but fascinating concept. It might change the entire dynamic of Naruto's story, from his relationship with the villagers (as they might be even more fearful or respectful considering his mother) to his own self - discovery journey.
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.
In the fanfiction, Fem Kyuubi could be jealous of Naruto's relationships. Naruto has strong bonds with his friends like Sasuke and Sakura. Kyuubi, being trapped inside Naruto for so long, might envy those connections. She could try to interfere in Naruto's friendships by whispering negative thoughts in his mind during their interactions, hoping to drive a wedge between them.
Often, she's portrayed as having a complex relationship. Some fanfictions show that her sealing of the Kyuubi was not just a physical act but also left a spiritual mark. So, the Kyuubi might be more docile towards Naruto because of its past with Kushina.