Well, it could go in many directions. For example, his family might start to search for him, which could lead to a series of adventures where they encounter new characters and face various challenges. His wife, if he has one in the story, might become stronger and more independent in his absence, vowing to bring him back.
Naruto would be devastated. He sees Kakashi as a mentor and father figure. He might initially go into denial, not believing that Kakashi would actually abandon him.
At first, Naruto is likely to be heartbroken. Konoha has been his home, and he has always longed for acceptance from the villagers. So being abandoned would be a huge blow to him.
In some fanfiction scenarios, Kurama might abandon Naruto if he believes that Naruto is becoming too corrupted by power. Kurama has a sense of honor in a way, and if Naruto starts to use his power in a way that Kurama doesn't approve of, like becoming overly aggressive or cruel, Kurama could decide to leave. For example, if Naruto starts to use the Nine - Tails' power to dominate others rather than protect them.
He could become very determined to find out why Sakura left and try to win her back. Naruto is known for his perseverance, and he wouldn't give up easily on his family. He might also start to question his own actions and wonder if he could have done something differently to prevent this.
Fanfiction often takes creative liberties with Naruto clan kinjutsus. Writers may create new variations of existing kinjutsus or even invent entirely new ones. This can add an exciting element to the story, especially when these new kinjutsus are used in battles or to solve complex problems within the fan - created plot.
On the other hand, it can also inspire new discussions and fan-made content. Fans might start creating their own versions of what could have happened instead, or write stories where Naruto tries to win Sakura back. It can also lead to in - depth analyses of the characters' relationships and personalities within the fanfiction community.
Perhaps Kakashi feels that Naruto is becoming too reliant on him and not developing his own skills independently. So, in order to force Naruto to become stronger on his own, he decides to abandon him. This is a tough - love approach. Naruto has great potential, but he needs to learn to stand on his own two feet, and Kakashi may think this is the best way to make that happen.
One possible reason could be that Sakura realizes she has different goals or values that are not compatible with being around Naruto. Maybe she discovers a new path in life that doesn't involve him, such as focusing on her own medical ninja career without Naruto's chaotic lifestyle interfering.
One possibility is that Naruto abandons the village to protect Shion. In the fanfiction world, there could be a powerful enemy targeting Shion, and the village is not willing to provide enough protection. Naruto, being the kind - hearted hero, decides to take matters into his own hands and leave with Shion to keep her safe. This would lead to a whole new adventure for them, away from the village and its rules.