At first, Naruto might be shocked and heartbroken. He has always longed for family acceptance, so being banished by them would be a huge blow. He could feel betrayed and angry, especially if he doesn't understand the reasons behind it.
Well, in the 'Naruto abandoned by family snapped' fanfiction, Naruto's character arc would likely be a rollercoaster. Since he was abandoned, he could develop a more cynical view of the world. His 'snapped' state might mean he's no longer the optimistic ninja we know. He might use his powers in ways that are more self - serving rather than for the good of the village. This could lead to some interesting confrontations with his former friends and allies who are trying to bring him back to his old self.
Naruto might initially be heartbroken. He's a character who values family and connection deeply, so rejection would hit him hard. He could go into a state of self - doubt, wondering what's wrong with him.
His character would grow in a more self - reliant way. He would be forced to face his insecurities alone. This could make him more introverted at first, but as he discovers his own strength, he would become a more confident and self - assured Naruto. His sense of justice may also become more complex, as he questions the values of the village that allowed his family to abandon him.
Naruto might cope by focusing on becoming stronger. He could see his abandonment as a motivation to prove himself. With the Sharingan - related powers, he might train rigorously to show his family that they were wrong to leave him. He could also make new friends who support him and help him through the tough times, replacing the family he lost.
He would probably be very lonely. Without a family, Naruto has no one to turn to in the most basic sense, which would lead to a deep - seated loneliness.
He could meet an AU version of Hinata who is more assertive and outgoing. Maybe she's a powerful ninja in her own right and not as shy as in the original story.
Naruto's reaction could be complex. He would feel a deep sense of loss and loneliness. But he has the spirit of never giving up. He might start to question the concept of family and what it really means. This self - reflection could lead him to grow as a person. He could also become more empathetic towards others who have been rejected or abandoned. In his journey, he might encounter people who have similar experiences, and together they would form a bond and support each other while he tries to find his place in the world without his family.