In the fanfiction, their relationship might start off on the wrong foot. Naruto has fought against Orochimaru and knows his evil deeds. So when he meets the daughter, he is on guard. But the daughter, who may not fully agree with her father's actions, tries to prove herself different. As they are forced to interact more, for example, if they are in a situation where they need to work together to save someone or something. Naruto starts to see her good side. She, in turn, is drawn to Naruto's unwavering spirit. And over time, they form a bond that is based on mutual understanding and respect.
Their relationship could develop in a rather complex way. Given Orochimaru's reputation, Naruto would be cautious. However, if the daughter shows signs of wanting to break away from her father's dark shadow, Naruto could become her mentor of sorts. He would teach her about the values of the village and friendship. In return, she might offer him unique insights into Orochimaru's mind, which could be useful in future battles or conflicts. They could gradually become allies and friends, but it would be a slow process full of doubts and second - guesses.
At first, their relationship would be full of tension. Naruto would be cautious around Fem Orochimaru as he knows her past. But as he spends time with her, he might start to notice small changes in her behavior. For example, she may start to show more respect for life. And Orochimaru, being a slave, would have to follow Naruto's commands, which could lead to her grudgingly respecting his authority.
Naruto's character development in this fanfiction would be complex. He'd probably grow up with a sense of superiority due to Orochimaru's powerful teachings. But at the same time, he'd lack the warmth and compassion that came from his relationships in Konoha. He might be more self - centered, focused on his own power and survival. He may not have the same sense of justice as in the original Naruto, as Orochimaru's motives are not in line with the general good. And his relationship with his peers would be more of a power struggle. He might not form the same deep friendships, but rather see others as either tools or threats.
Naruto's character would likely become more conflicted. He has always been on the side of good, and joining Orochimaru, even if for a good reason, would put him in a morally gray area. His view of power might change as he is exposed to Orochimaru's unorthodox ways of obtaining it.
They would develop in terms of their skills. Under Orochimaru, they would gain a lot of knowledge about chakra manipulation and forbidden jutsu. But with Naruto, they would learn about the power of bonds and friendship. This combination could lead to the development of new jutsu that combines both physical power and the strength of relationships. Also, they would grow in their understanding of right and wrong, as Naruto's moral compass would constantly be in conflict with Orochimaru's more amoral stance.
Their relationship could develop gradually. At first, Naruto might be a bit wary of the Kyuubi daughter because of her connection to the powerful Kyuubi. But as he sees her good intentions and her growing love for him, he starts to open up. They could start off as friends, sharing stories about their experiences with the Kyuubi's power. Then, over time, their friendship could turn into something more romantic as they face challenges together and rely on each other more.
It could develop in a very complex way. Maybe at first, it's full of hostility as Orochimaru has his own dark motives. But as the story progresses, Naruto's positive influence might start to change Orochimaru's perspective a bit.
Naruto's character would likely become more complex. With Orochimaru as his guardian, he'd be exposed to different ways of thinking. He might become more cautious, as Orochimaru is a master of manipulation. But he'd also learn a great deal about jutsu and ninja history. His view of the world might expand, and he could become more understanding of the gray areas in the ninja world.
His abilities would likely take a very different turn. Orochimaru could introduce him to some dark and powerful chakra - based techniques. Naruto might learn to manipulate his chakra in more insidious ways, perhaps using it to control others or for stealth attacks.
In many fanfictions, it starts with Naruto's curiosity about Orochimaru. Naruto, being the character who always wants to understand others, is drawn to Orochimaru's mystery. This initial interest then leads to more interactions, which gradually develop into a deeper bond. For example, in some stories, Naruto might try to save Orochimaru from his own dark path, which then causes Orochimaru to see Naruto in a new light.
In some fanfictions, Orochimaru might develop a sense of loyalty towards Naruto. After being around Naruto for a while, he could see Naruto as someone worthy of his loyalty. This could lead to him being more open to working with the Hidden Leaf and helping Naruto in his various missions. He might even sacrifice his own interests to protect Naruto at times, which is a complete turnaround from his initial character.