Their relationship would likely develop at a faster pace. In the original, it took a long time for Naruto to even notice Hinata's feelings. Here, since he 'owns' her, they'd quickly move past the initial awkwardness. They'd start sharing their dreams and fears more openly, and their bond would deepen much quicker than in the canon story. This could lead to them becoming a power couple in the Hidden Leaf Village much sooner.
In the original series, Naruto was oblivious to Hinata's feelings for a long time. In the fanfic, if he 'owns' her, he'd be much more aware. Their relationship would become more intimate right from the start. He'd probably show more concern for her well - being, not just as a friend or comrade but as someone he truly cares for romantically.
At first, Naruto would be shocked. He might be angry at Hinata for slapping him. But then he would start to think about why she did it. If he realizes his mistake, he could become more cautious around her. Hinata, on the other hand, would probably feel a bit guilty for slapping him, but also relieved that she got her feelings out.
In this fanfic, their relationship will change in many ways. Hinata moving in with Naruto means they'll be sharing a living space. This will lead to them sharing their hopes, fears, and secrets. Naruto will be able to comfort Hinata during her tough times, and Hinata will be there for Naruto when he has nightmares about his past. They'll also start to develop new traditions together, like having a special dinner every Friday night or going for a walk in the forest on Sundays.
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.
Their relationship would likely become even stronger. With Naruto as Hokage, Hinata would be more in the public eye as his partner. They would have to rely on each other more for emotional support in the face of the high - pressure situation of leading the village.
Their relationship would likely become even more intimate. Naruto would be more protective of Hinata. He would constantly be by her side, making sure she's safe and comfortable. Hinata, on the other hand, would rely on Naruto more, sharing her fears and joys about the pregnancy with him.
Their relationship would likely become more interdependent. As Jinchuuriki, they would have to rely on each other for support and understanding. For instance, they might train together more often to master their powers, which would bring them closer.
Their relationship would likely become even stronger. As Hanyou, they would be going through a very unique and difficult experience together. They would have to rely on each other more for support, both emotionally and in dealing with their new powers. Naruto would be more protective of Hinata, and Hinata would be more confident in standing by Naruto's side, knowing they are both in this strange new state together.
On the other hand, their relationship could also grow stronger. They would be relying on each other more in this new and dangerous situation. Naruto would be even more protective of Hinata, and Hinata would be a source of comfort for Naruto. They would have to communicate and trust each other more deeply to survive in Orochimaru's lair.
In the original series, Naruto and Shizune don't interact much. In a fanfic, their relationship could develop in a more friendly way. For example, they could start training together. Naruto could learn some medical ninjutsu from Shizune, and Shizune could learn some of Naruto's unique combat techniques.
Their relationship would become more mature and responsible. With a child to take care of, they would have to communicate more effectively. Naruto, who is often impulsive, might become more cautious for the sake of the child. Hinata, already a calm and loving person, would be the stable force in their family. They would rely on each other more, and their bond would strengthen as they share the joys and challenges of raising a child.