There are fanfics that focus on a political alliance between Naruto (as a future Hokage) and Hiashi. Hinata is caught in the middle of this in a way that she has to prove her worth not just as a Hyuga but also as someone who can stand beside Naruto. In these types of fanfics, there's often a lot of character development for all three as they navigate through the complex world of shinobi politics.
Well, it might be a fanfic that delves into a new adventure. Naruto, being the main character, could lead the group. Hinata would be by his side, with her shy but strong personality. Hanabi could represent the new generation of the Hyuga clan, learning from Hiashi. And the Uzumaki connection could add a layer of mystery and power to the story. For example, they might discover an ancient Uzumaki technique that helps them in a battle or a crisis.
One possible plot could be a tournament where all these characters participate. Naruto represents his village, Hinata and Hanabi compete for the Hyuga clan's honor, and Hiashi oversees it. The Uzumaki part could come in if Naruto discovers some hidden power during the tournament related to his Uzumaki heritage.
The 'Hyuga's New Hope' fanfic is quite popular. It focuses on how Hiashi sees Naruto as a new hope for the shinobi world and encourages Hinata to be closer to him. It has a great mix of action and romance elements.
In some fanfictions, Naruto might use his newfound jutsu skills. He could quickly dash in between Hiashi and Hinata, using his speed and agility to block any attacks Hiashi might be launching towards Hinata. His Rasengan in his hand, ready to defend if Hiashi doesn't back down. This shows Naruto's determination to protect Hinata from any harm, even from her own father in this fictional scenario.
Hiashi could be initially skeptical. Naruto has a reputation for being a bit of a troublemaker at times. But if Naruto presents a good case, Hiashi might warm up to the idea. For instance, if Naruto shows how his actions would bring honor and prosperity to the Hyuga clan.
In this fanfic, Naruto might save Hiashi in a battle situation. Maybe Hiashi is facing a powerful enemy that he can't handle alone, and Naruto steps in with his strong ninja skills. For example, if Hiashi is being attacked by a group of rogue ninjas, Naruto could use his Rasengan to fend them off.
Well, their friendship is like a foundation. Naruto, having known Hinata for a long time, values her. In the situation where he has to save her from Hiashi, his friendship is what pushes him to put himself in harm's way. He remembers all the times they've shared, the support Hinata has given him in the past. This makes him determined to return the favor and protect her. It also means he's more likely to understand Hinata's perspective and try to resolve the issue between her and Hiashi in a way that benefits her in the long run.
Maybe Hiashi thinks Naruto fanfiction might contain inappropriate or untrue portrayals of the Naruto world and characters. He wants to protect Hinata from being influenced by such potentially inaccurate or improper content.
One possible reason could be that Naruto is in love with a Hyuga clan member. Since Hiashi is the head of the Hyuga clan, Naruto might think it's proper to ask for his blessing. For example, if he has feelings for Hinata, Hiashi's daughter. Hiashi's approval would mean a lot in terms of family and clan acceptance.