Maybe Naruto discovers that the village he has been trying so hard to protect has been using him all along. He might find out some dark secrets about the Hidden Leaf, like they were involved in something immoral and were just using his power, which would shatter his idealistic view of the village and leave him heartbroken.
He could leave because of a broken heart over a lost love. If Naruto had strong feelings for someone in Konoha, like Sakura, and she chose someone else or rejected him in a cruel way, it might be too much for him to bear. So he decides to leave the place full of memories related to that person.
Well, it could be due to the failure to protect the village. Naruto has always been about protecting Konoha. If something really bad happened, like a major attack that he couldn't prevent and many lives were lost, he might feel so much guilt and heartbreak that he decides to leave. He would feel like he failed his purpose.
The relationships within the village would be severely affected. His friends would be heartbroken and split into groups, some trying to find him, others blaming themselves. The new generation of ninjas would also lack a role model. And the balance of power in the ninja world could shift, as other villages might see Konoha as weakened without Naruto and try to gain an upper hand.
One possible reason could be unrequited love. Maybe Naruto has deep feelings for Anko, but she doesn't feel the same way. She might be focused on other things like her ninja duties or she could have feelings for someone else. Another reason could be that Anko betrays Naruto's trust in some way. For example, she might break a promise she made to him that was really important. It could also be that Anko does something that goes against Naruto's ideals, which makes him feel heartbroken as he had a different image of her in his mind.
One possible reason could be a failed relationship. In the DxD fanfiction world, Naruto might fall in love with a character, but due to differences in their goals or the interference of others, the relationship fails. For example, if he falls for a devil girl who has to follow the orders of her clan which oppose her being with Naruto. Another reason could be the loss of a dear friend. Maybe one of his newfound friends in the DxD universe betrays him or gets killed, leaving him heartbroken.
The village would likely be in chaos. Naruto has been a key figure in protecting the Hidden Leaf. Without him, there would be a power vacuum, and enemies might see it as an opportunity to attack. The villagers who once relied on Naruto would be filled with fear and uncertainty.
One possible reason could be the loss of a dear friend. Naruto values his friends deeply, and if he were to lose one, it would break his heart. For example, if Sasuke were to die or turn against him completely in a way that Naruto couldn't fix, it would be a huge blow.
One possible reason could be unrequited love. Naruto might have developed deep feelings for Ino, but she has her eyes set on someone else, like Sasuke. This would leave Naruto heartbroken as he realizes his love will not be reciprocated.
One possible reason could be to seek stronger opponents outside of Konoha. Naruto might feel that he has outgrown the training opportunities in the village and wants to face greater challenges.
One possible reason could be a mission. In many Naruto - related stories, missions often take characters away from their families. Naruto might have received a highly important and dangerous mission that requires him to be away from Kushina for a long time.