Naruto could try to communicate. He could sit down with his family members and try to understand why they hate him and also explain his side of the story.
He might try to prove himself. Naruto has always been a determined character. So he would likely strive to show his family that they are wrong about him. He could do this by achieving great things in the ninja world, like mastering new jutsus or completing difficult missions.
In fanfiction where Naruto is hated by his family, it could be a very dark and angsty take. Maybe the author wants to explore the idea of Naruto facing even more hardships on top of being an outcast in the village. It could lead to a very different Naruto, one who is perhaps more bitter or desperate for acceptance outside of his family unit.
Sometimes it could be due to a misunderstanding. A game character might be on a quest that the family doesn't understand. For instance, the character might be trying to prevent a greater evil but has to use methods that seem unethical to the family. Without proper communication, the family could misinterpret the character's actions and come to hate them. Also, if the character is born with a 'curse' or some special ability that the family fears, they may be ostracized and hated by the family.
Naruto could develop a very different personality. Instead of his usual cheerful and determined self, he could become withdrawn and angry. This new personality would affect his relationships with others in the village, and might even make some people fear him more than they already did.
In modern fanfics where Naruto is hated by his family, it could be due to a plot twist. Maybe a dark secret is revealed that makes his family turn against him. For example, they might discover he has a hidden power that they fear will bring danger. It could also be a miscommunication. His family misunderstands his actions or intentions, leading to hatred.
The ranking of the most hated characters of My Own Swordsman was not clear. Different answers mentioned some annoying characters, such as Mu Rongzi, Yan Xiaoliu, Jin Xiangyu, Nangong Canhua, Li Dazui, Xiao Cui, and the ruffian Marquis. However, there was no clear ranking or consensus. Therefore, it was impossible to give a specific ranking.
Another reason might be related to family politics. In some complex family structures in the Naruto universe, there could be different factions. Naruto might be on the wrong side of the power struggle within the family. His views or actions could be seen as a threat to the traditional power structure of the family, so they hate him.
One example could be Kratos from the God of War series. In the early games, his actions in his past, filled with rage and violence, made him an outcast even among his own family. His Spartan ways and the brutal deeds he committed, like killing his own father Zeus in a fit of vengeance, led to a strained relationship with his family. His son Atreus initially had a lot of mixed feelings towards him, being both in awe and a bit afraid of his father's past.
In a modern fanfic, if Naruto is hated by his family, it could change his entire life trajectory. He may be forced to leave his home earlier than in the original story. This would expose him to more danger at a younger age. His relationships with other characters would also be affected. For instance, his relationship with his teachers might become more complicated as they try to navigate the situation. Additionally, Naruto's view of the world could become more cynical, but he could also strive to create a new family of sorts among his friends, which would be a significant aspect of his character development.