He could feel a sense of guilt. Sasuke might think that his actions or their relationship issues pushed Naruto to leave. He may then set out to find Naruto, not only to bring him back but also to resolve their long - standing issues. For example, if there were unspoken words or unresolved fights between them, Sasuke would see this as an opportunity to set things right.
One possibility is that Naruto is on a quest for self - discovery. Leaving the village to find the Sage gives him a chance to be away from the familiar and face new challenges alone. He might encounter different types of enemies and allies during this journey. This could also be a way for him to prove himself not just to the village but also to himself. He wants to show that he can grow and become stronger without always relying on the village's resources.
In the sasunaru context, perhaps a rift between Sasuke and Naruto makes Naruto feel like he needs to leave to sort out his feelings. He might think that staying in the village constantly reminded of Sasuke and their complicated relationship is too much to bear, so he leaves to find his own path and hopefully reconcile with Sasuke on his own terms.
Perhaps Naruto in the Anbu has a personal mission that goes against the village's orders. For example, he might befriend someone from an enemy village who is actually innocent but is being targeted by Konoha. When the village refuses to listen to his pleas, he decides to leave. He'll use his Anbu abilities to protect his new friend and find a new place where they can both be safe, away from the political drama of the ninja villages.
There's also 'Beyond the Village Borders'. It focuses on Naruto's journey outside the village and how Sakura secretly misses him. As the story unfolds, they communicate through letters which gradually deepens their bond.
In this fanfiction, Naruto might be neglected not just by the villagers but also by some of his so - called friends. This heartbreak makes him leave. He then travels to different lands. Along the way, he meets an old hermit who teaches him ancient ninja techniques that are long forgotten in his village. With these new skills, he contemplates whether to return to the village and show them what they missed out on or to start a new life away from the place that has caused him so much pain.
The Leaf Village would be in chaos at first. Hinata is an important member of the Hyuga clan, and her kidnapping would not be taken lightly. The Hokage would immediately call for an emergency meeting. They would start by sending out search teams, likely led by some of their best shinobi like Kakashi or Shikamaru, who are known for their intelligence and combat skills.
It could be a rogue Anbu member. This person might be jealous of Naruto's power and popularity within the Anbu. So, they spread false rumors about Naruto which lead to his decision to leave the village. This antagonist would then try to further harm Naruto while he's outside the village, using their own Anbu skills against him.
In one possibility, Naruto might leave the Leaf due to a misunderstanding. For example, if the villagers continue to show distrust towards him despite his efforts. He could set out on a journey to find a place where he truly belongs. Maybe he meets some new allies on his way, people who understand him without any prejudice.
It could be Danzo. Since he's always been a bit of a shadowy figure in the Naruto world, he might be the one behind Naruto's neglect in the village. He could have spread rumors or influenced others to keep Naruto down, and when Naruto leaves, he might send agents to stop him from becoming a threat outside the village.