Tsunade's character might develop by becoming more maternal towards Naruto. Saving him could make her see him as more than just a village ninja. She could start to care for him in a more personal way, like a mother figure.
In many fanfictions, Naruto's determination and positive attitude start to rub off on Tsunade. She has been through a lot and is a bit jaded, but Naruto's energy makes her feel alive again. This new - found connection leads to a budding romantic relationship. For example, Naruto might bring her small gifts from his travels, which are simple but meaningful gestures that slowly warm Tsunade's heart.
Naruto's understanding of sacrifice could deepen. If he has to put himself in great danger to save Tsunade, he'll learn more about what it means to sacrifice for others. He might recall the sacrifices of his predecessors like the Hokages and use that as motivation to keep going, even when the odds are against him.
The story could develop with other characters getting involved. For example, Sasuke might hear about what happened and come back to the village to confront Tsunade. This would create a lot of tension and drama in the fanfiction.
If Naruto was raised by Tsunade in fanfiction, his character development would be quite different. Tsunade is a complex character with her own set of values and experiences. She has seen a lot of loss and has a deep sense of responsibility towards the village. Naruto, under her care, would absorb some of these qualities. He would likely be more cautious in his actions, not rushing headlong into danger as he often did in the original story. His view of the world would also be influenced by Tsunade's perspective. For example, he might have a different attitude towards the other villages, perhaps seeing them more as potential allies but also being more aware of the threats they could pose. His relationships with his peers would also change. He would be more of a leader figure, having learned from Tsunade's leadership style, and his friends would look up to him in a different way.
Naruto's character would become more mature earlier. Tsunade is a strict and experienced ninja. Under her influence, Naruto would learn discipline faster. He might also be less impulsive as Tsunade could teach him to think before acting.
If Tsunade kisses Naruto, it could strengthen their relationship in a mentor - like way. Naruto might see it as a sign of deep respect and trust from Tsunade. He would likely feel more confident in following her guidance. For Tsunade, it could be a way of showing her pride in Naruto's growth.
Sakura's character develops in many ways. Firstly, in terms of physical strength, Tsunade's training likely makes her stronger. She may be able to take on tougher opponents. Secondly, her confidence grows. As she masters new skills under Tsunade's guidance, she becomes more self - assured. For example, she could start leading missions more effectively. Thirdly, her medical skills improve significantly, which also makes her more valuable to the village.
Naruto may also develop a darker side to his personality. The abandonment could make him feel betrayed and angry. He might struggle with controlling his emotions, especially his anger. However, this could also lead to him learning how to channel that anger into power in a more controlled manner, like he did with the Nine - Tails' chakra, but in a more refined way.
Naruto would likely become more patient. Tsunade is a strict teacher, and Naruto would have to learn to listen and follow instructions carefully, which would mellow out his impulsive side. He'd also become more empathetic as he delves into the world of medical ninjutsu and sees the pain and suffering of others up close.
His approach to problems would be different. Naruto usually rushes into things head - on. But as Tsunade's grandson, he could be more strategic. Tsunade is a smart leader and a skilled ninja. Naruto could learn from her how to analyze situations better. Also, his relationship with Sasuke would be affected. He might be more of a guiding figure to Sasuke, rather than just a rival, as he would have a stronger sense of responsibility from his family connection.