If Naruto becomes Anko's apprentice, his relationship with Kakashi would be affected. Kakashi might be a bit surprised at first but would also be interested to see how Naruto grows under Anko's guidance. Naruto's friends in Team 7 would also have different reactions. Sakura could be curious and a bit envious of the new skills Naruto is learning. As for Sasuke, he might view Naruto as a threat in a different way now. Naruto's new skills might make Sasuke more determined to surpass him. Also, Naruto's relationship with the other villagers could change. Some might be a bit wary of his new - found skills, especially if they are related to Anko's more unorthodox and perhaps a bit dangerous techniques. But overall, Naruto's apprenticeship with Anko would cause a ripple effect in his relationships throughout the village.
His relationship with Sasuke would be different. Without the influence of Kakashi in the same way, Naruto might approach Sasuke more aggressively in terms of rivalry. He could also be more confident in his own abilities, which might make Sasuke see him as a more worthy opponent earlier on. As for Sakura, Naruto might not be as smitten with her since Anko and Ibiki's influence could make him more focused on his training and less on romantic pursuits at first.
Naruto's relationship with Kakashi would also change. Since Anko has her own way of doing things, Naruto might not be as receptive to Kakashi's laid - back teaching style at first. However, as he grows, he could come to appreciate both Anko's and Kakashi's approaches. And Kakashi might see Naruto as a more self - sufficient student compared to the original story, which could change their dynamic in terms of how much guidance Kakashi provides.
His relationship with Sasuke would be different. Without the same kind of rivalry born from their time in the academy under Iruka, Naruto might approach Sasuke more as an equal from the start. Since Anko and Ibiki would teach him different values, he might not be as eager to prove himself to Sasuke. With his friends like Sakura, he could be more protective in a different way. Instead of his usual exuberant protectiveness, it might be a more calculated and serious form of protection due to Ibiki's influence.
His relationship with Sasuke might be different. With Kurama's influence, Naruto could be more confident in reaching out to Sasuke. He might be able to understand Sasuke's pain better and be more effective in bringing him back to the village.
Naruto's relationship with Sasuke might be different. Instead of the rivalry based on power and recognition, Sasuke could be more jealous of Naruto's unique bond with the female Kyuubi. Naruto's friends like Sakura might also view him with a bit of awe and fear initially, since he is being raised by such a powerful and feared being. The village elders would likely be more distrustful of Naruto, thinking that the female Kyuubi is influencing him in a negative way.
His relationship with Shikamaru would be very different. Instead of being just friends, they could be like brothers. Shikamaru might take on a more mentoring role, teaching Naruto the ways of the Nara clan. This would strengthen their bond even more.
With Kakashi, Kakashi would be extremely cautious around Naruto. He would be constantly on guard, worried that Naruto might inherit some of Fem Madara's more dangerous tendencies. Naruto would have to prove his loyalty and good intentions to Kakashi over time.
With Kakashi, Kakashi would be extremely worried. He would probably try to find a way to get Naruto out of Akatsuki without causing too much chaos. Naruto, on the other hand, would have to keep his distance from Kakashi to maintain his cover in Akatsuki, which would be a difficult situation for both of them.
Naruto would likely become more secretive. Since Orochimaru is a very private and often devious character, Naruto might pick up some of those traits. He would probably keep things from his friends more often.
In this fanfiction, Naruto's training progress could be quite interesting. Anko, being an experienced ninja, would likely start Naruto off with physical conditioning. He would have to run through the forest, climb trees, and do other stamina - building exercises. Then, she might introduce him to some of her own ninjutsu. Naruto, with his determination, would practice them day and night. His progress would be marked by his ability to execute these new jutsus more accurately and with greater power over time.