Well, considering Hinata's character, we know she is very traditional. She might view fanfiction as something that distorts the true story and values of the Naruto world. There is no one incident but her overall personality traits suggest she would be averse to it. For instance, she has always been respectful of the ninja code and the way things are in the village, and fanfiction can be seen as going against that order in a way.
Maybe she wants to keep her real relationship with Naruto pure. Fanfiction can be full of all sorts of wild and untrue interpretations of their relationship. She values what she has with Naruto in reality and doesn't want to be influenced by fictional ideas. For example, some fanfictions might create unnecessary drama or unrealistic scenarios between them.
One common scene is when Naruto is frustrated after a failed mission. Hinata finds him alone, and she sits beside him in silence for a while. Then she starts to talk about how everyone makes mistakes and that it's a part of growing. This simple act of sharing her perspective calms Naruto down.
One common scenario is after a major fight between them. Naruto might feel that the relationship has become too strained and decides to avoid Sasuke to give both of them time to cool down. For instance, if they had a very intense battle over different ideologies and Naruto realizes that they can't immediately reconcile, he would avoid Sasuke.
Yes, there could be such fanfictions. Fanfiction allows for a wide range of creative interpretations. Some writers might deviate from the original characters' traits and create a story where Hinata cheats on Naruto. But this is not in line with the general perception of their relationship in the original series.
Stick to the themes of friendship, loyalty, and the pursuit of one's dreams. For example, you could write about Naruto's efforts to help his friends achieve their goals. Maybe Sakura wants to become the best medical ninja, and Naruto uses his influence to get her access to rare medical texts or training opportunities.
One possible reason could be that Naruto has seen or experienced something that makes him distrust or fear those around him. Maybe he has discovered a dark secret about the village or his friends that has shaken his beliefs.
Well, it could strain their relationship. Avoidance usually creates distance, and in this case, Kakashi might feel hurt or confused as to why Naruto is avoiding him.
One possible reason could be that Naruto might be trying to prove his independence. He has grown and wants to show that he can handle things on his own without always relying on Kakashi's guidance.
A Naruto x Hinata fanfiction could focus on a mission they go on together during Naruto Shippuden. They are forced to rely on each other in a dangerous situation. Hinata gets injured protecting Naruto, and Naruto is filled with a new - found determination to protect her. This experience deepens their bond, and Naruto starts to see Hinata in a whole new light, leading to the start of their romantic relationship.
In a fanfiction scenario, Naruto being a jealous husband might lead to some internal conflict. He has always been confident, but when it comes to Hinata's affection, he might worry that he's not doing enough. So, when he sees Hinata having a normal conversation with someone else, he might start to doubt himself. This self - doubt can be explored in the story, and through his relationship with Hinata, he can learn to overcome it.