At first, it might be awkward. Kakashi is used to being a mentor figure, and now he's in a position of being 'adopted'. But as time passes, Naruto's positive energy starts to rub off on Kakashi. Kakashi becomes more carefree and starts to enjoy life more, like Naruto does.
In the long run, they would probably become an inseparable duo. Kakashi would use his experience to guide Naruto in more strategic and political matters within the village, while Naruto would keep Kakashi's spirit young. They might travel together, train together, and their relationship would be the envy of others in the village as it would be based on mutual respect, love, and understanding.
Naruto's training would be more personalized. Instead of the general training he received in the academy, Kakashi would tailor his training to Naruto's strengths and weaknesses. Given Kakashi's knowledge of different ninja arts, he could expose Naruto to elements of different clans' techniques. This would make Naruto a more versatile ninja. Kakashi would also likely push Naruto to think more analytically during combat, rather than relying solely on brute force. This would help Naruto become a more well - rounded and formidable ninja in the long run.
At first, they might be a bit competitive as brothers often are. But as they face more and more challenges together, their bond would strengthen. They'd start to rely on each other more and more.
In the past, their relationship could be more complex. Kakashi might be suspicious of Naruto's sudden appearance and his knowledge from the future. Naruto would have to prove himself to Kakashi. However, as they work towards a common goal, like saving Konoha from a threat in the past, they would gradually build trust. Their relationship could also change in terms of how they interact with others in the past. For example, they would need to pretend to be normal villagers or ninjas from that time, and this new situation would impact how they relate to each other.
It would be a relationship full of growth. Kakashi would be a father figure to Naruto. He would encourage Naruto to study and learn from his mistakes. Given Kakashi's love for reading, he might introduce Naruto to different books and philosophies that would help Naruto in his ninja career. Naruto, in turn, would bring out the more emotional and caring side of Kakashi that he usually hides.
At first, Naruto might be a bit confused about this new arrangement. But Kakashi would use his easy - going nature to break the ice. He'd take Naruto for walks and talk about ninjutsu casually. Kurenai would be the one to make sure Naruto is well - fed and taken care of. As Naruto grows, he'd start to participate in their conversations more. He'd ask Kakashi for advice on tough missions and Kurenai for advice on how to deal with his friends. Their relationship would be a mix of mentorship, friendship and family, evolving as Naruto becomes more mature and skilled as a ninja.
The relationship would become more complex. If Naruto time - travels, he might see Kakashi in a different light, as someone who was once young and inexperienced. Kakashi, on the other hand, would be intrigued by this strange kid with such advanced skills. They could become closer as friends, with Naruto sharing his future experiences and Kakashi guiding Naruto in the past world.
The child would add a new dimension to their relationship. Naruto and Hinata would have to communicate more about the child's needs. This would lead to a deeper understanding of each other. They might also have different opinions on how to raise the child, but through resolving those differences, their relationship would grow. Hinata might become more assertive in expressing her views on parenting, and Naruto would learn to listen more, which is great for their relationship.
During time travel, they would rely on each other more. Kakashi would have to depend on fem Naruto's unique abilities and insights that she has gained in their original time. For example, if fem Naruto has some new jutsu or a different way of thinking about problems. At the same time, fem Naruto would look up to Kakashi's experience even more as they face unfamiliar situations in the past. This could deepen their bond and make it more of a mutual admiration and friendship rather than just a student - teacher relationship.
Naruto would probably become more confident and self - assured. Having Kakashi and Anko as his adoptive parents would give him a stronger support system. He'd also likely become more skilled in different areas of ninjutsu, which would boost his self - esteem and change his overall demeanor to be more calm and collected.
Since Naruto has more knowledge of the future, Kakashi might start to rely on him more, which could shift their relationship. Naruto could also see a different side of Kakashi from the past, and this new understanding could deepen their connection. For example, they might have to face some challenges together that make them trust each other more than before.