Naruto might become more self - aware. Through the confrontation with Hinata, he could start to realize his own feelings towards her that he was previously unaware of. This could make him more in tune with his emotions.
Naruto may develop a more complex view of relationships. Confronting Hinata could open his eyes to the subtleties and nuances of personal relationships. He might realize that relationships are not just about being comrades or friends but also about understanding and respecting each other's feelings on a deeper level. This could lead to a more mature Naruto who is better equipped to handle his relationships with not just Hinata but also other people in his life.
His character could develop in terms of patience. If Hinata reacts in a way that makes Naruto understand she had good intentions all along, he might learn to be more patient and less quick to judge in future situations. For example, if Hinata is trying to protect Naruto from a hidden danger and he confronts her about it, only to find out later the truth. This experience could teach him to listen more carefully. He could also become more empathetic towards Hinata, understanding the difficulties she has in expressing herself and her love for him.
Hinata would develop more leadership qualities. With Naruto gone, she realizes that someone needs to step up and be a symbol of hope for those who still believe in Naruto. This would make her more confident in making decisions for the greater good of the village and its relationship with Naruto when he returns.
Their relationship would likely deepen. They would have more private time together, sharing their dreams and fears at night. Naruto would become more protective of Hinata in their shared home.
It could start with Hinata being more open about her admiration for Naruto. Instead of just blushing and being shy, she starts to actively engage with him as a friend. Naruto, being Naruto, would be very accepting and they'd start hanging out. For example, they could share ramen together, which is Naruto's favorite. This simple act of sharing food could be the start of a deeper connection.
Naruto's character could develop a greater sense of responsibility towards Hinata and her family. Saving her mom would make him more aware of the importance of family bonds, which could in turn influence his own views on his family and his place in the village.
In many fanfictions, Hinata's confidence grows. For example, she might start taking on more leadership roles in missions with Naruto. Since she has always been shy, in fanfiction, she could break out of her shell more, especially when Naruto is in danger. She becomes more assertive in protecting him and their relationship.
One possible scenario could be Naruto confronting Hinata about her overprotectiveness. He might feel that she's being too clingy and it's affecting his freedom to pursue his ninja duties.
Hinata may become more assertive. Since she has Naruto as her 'weapon', she has to take on a more leading role. She might have to make decisions about when and how to use Naruto's powers, which could make her grow in confidence.
Naruto's character would likely become more stoic. Vergil is known for his calm and collected demeanor, so Naruto might start to suppress his more exuberant emotions. He could become more calculating in battles, thinking several steps ahead like Vergil does when facing his enemies.
Naruto might become more serious. Deadshot is a very serious and focused character. So Naruto could lose some of his goofy and carefree nature and become more calculating in his actions.
Naruto might become more cautious. Dealing with the Daleks, who are extremely dangerous and unpredictable, would force him to think before acting. His normal brashness might be toned down a bit.