Sakura might become more involved in trying to understand Naruto's decision. She could be torn between her loyalty to Naruto and her own feelings about Obito. If she thought Naruto was wrong, it could cause some tension between them.
Kakashi would be deeply affected. Since he has a strong connection to both Naruto and Obito, he might try to mediate between them. He could be a key character in trying to make Naruto see the truth or in helping Obito change if he really was in the wrong. His relationship with Naruto could become strained as Naruto might not want to listen to his advice about Obito.
Obito's influence would likely make Naruto more aware of the darker side of the ninja world. Naruto is usually very optimistic, but with Obito's guidance, he would see the hardships and betrayals that can happen. For example, Naruto might become more cautious in his trust of others.
His relationship with Sasuke would be drastically different. Instead of their friendly rivalry, they could become enemies. Since Obito had a very different view from Kakashi, Naruto might also turn against Kakashi in this fanfiction. His friends like Sakura and Shikamaru would be confused and try to stop him, but he would be so far gone in his new mindset that he might not listen.
His relationship with Hinata could change. She might be in awe of Naruto's new connection to such an ancient and powerful being. Naruto could also be more protective of her, fearing that his new enemies might target her to get to him. With his friends like Shikamaru and Kiba, they might look at Naruto in a different light, seeing him as even more of a mystery and a source of great power. They could be both more cautious around him and more eager to help him in any new battles or challenges.
It could change it a great deal. For one, Obito might not be as much of a villain. His alliance with Naruto could lead to a united front against Madara much earlier. This would mean less destruction and death in the ninja world. Also, Naruto would have a powerful ally who has a deep understanding of the Sharingan and its powers. They could develop new jutsu together, changing the power dynamics in battles.
The relationship between Gaara and the other Jinchuriki would also shift. Fem Naruto, having her own experience as a Jinchuriki, would have taught Gaara how to communicate better with others who carry a tailed beast. He could form a sort of support group with them much earlier. With the Akatsuki, Gaara would be a more difficult target because Fem Naruto would have instilled in him a greater sense of self - preservation and the ability to recognize threats more quickly. His relationships in the Sand Village would also be more harmonious as Fem Naruto would have influenced him to be a more caring leader.
Well, it might make Naruto more withdrawn from characters who are close to Kushina. For example, if Minato is still alive in the fanfiction, Naruto's fear of Kushina could cause him to be less open with his father as well, since Minato was Kushina's husband. He might be worried that any information he shares with Minato could get back to Kushina.
Their relationship could begin with a misunderstanding. Maybe Female Obito has a mission that initially seems to conflict with Naruto's goals. However, as they communicate more, they realize they are actually on the same side. This leads to them working together closely. As time passes, Naruto's positive attitude rubs off on Female Obito, and she becomes more open and friendly. They could eventually become like family to each other, always having each other's backs.
In fanfiction, the relationship between Obito and Rin can be quite complex. Some fanfictions might explore their childhood bond that was cut short in the original story. They were teammates, and Obito had strong feelings for Rin. Writers often delve into how Obito's actions in the main story were influenced by his love for Rin, either as a pure and innocent love or a more obsessive one, depending on the interpretation of the fanfic author.
At first, it might be a bit awkward. Naruto, not used to being a parent - like figure, would struggle a bit. But as time passes, they would grow closer. Naruto would become someone Naruko could rely on completely.
The relationship would likely become more intimate. They'd have more time to just be with each other, sharing their thoughts and feelings without any rush. For example, they could have long conversations at night before going to sleep.