Well, one possible plot could be that Hinata gets caught in the crossfire during a battle involving the One Tail Beast. Naruto, being the hero he is, rushes to her rescue. He might use his Rasengan or some new jutsu he's developed to fend off the beast and save Hinata. Maybe Hinata was on a mission to gather information about the One Tail and got in over her head.
Well, Naruto has a whole arsenal of jutsus. His Rasengan is a powerful move. In the fanfiction, he might use a larger and more powerful version of the Rasengan to damage the One Tail Beast and keep it at bay while he saves Hinata. Also, his ability to summon toads could come in handy. He could summon Gamabunta to help him fight the One Tail and create a distraction so he can reach Hinata.
The story could start with Hinata being in immediate danger from the one - tailed beast. Naruto would sense her distress and rush to the scene. He'd face the powerful beast fearlessly. The battle would be intense, with Naruto's agility and strength being put to the test. Hinata, while being protected, could also show her growth and courage. She might not just be a damsel in distress but actively help Naruto. For instance, she could use her chakra to enhance Naruto's abilities for a short time. As the fight progresses, Naruto would gradually gain the upper hand, using his unique skills and the power of friendship to ultimately defeat the one - tailed beast and save Hinata.
Naruto's Nine - Tails chakra mode would be extremely useful. With that power, he has enhanced speed, strength, and the ability to sense danger more acutely. He could use this mode to quickly close the distance between him and the one - tailed beast, and then use his other skills like the Rasengan to attack. Another skill that could come in handy is his ability to communicate with the Nine - Tails. The Nine - Tails might give him some advice on how to deal with the one - tailed beast, as they are both tailed beasts after all.
Well, if Naruto saves Hinata from Orochimaru in a fanfic, it might start with Hinata being captured by Orochimaru's minions. Naruto would immediately go on a rescue mission. He'd probably fight through Orochimaru's various snake - based defenses. And when he finally reaches Hinata, he'd defeat Orochimaru with a powerful Rasengan, and then carry Hinata to safety.
Well, it could be that Naruto has developed a new and powerful form in the fanfiction. With this form, he emits an intense chakra that scares off the Cloud attackers who are after Hinata. His speed and strength in this new form are so great that he can easily reach Hinata and get her to safety before the Cloud ninjas can react.
Often, Naruto's status as a hero in the fanfiction world plays a big role. The Kumo ninjas might be a bit intimidated by him. He might start by making a grand entrance, shouting out his intentions to save Hinata. His reputation precedes him. Then he uses his Nine - Tails chakra, which gives him a significant power - up. He uses this enhanced power to fight off the Kumo ninjas who are holding Hinata captive and finally saves her.
In some fanfictions, Naruto might use his new jutsu skills that he's developed in secret training. He could surprise Neji with a powerful Rasengan variant, overpowering him and rescuing Hinata.
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.
One possibility is that Naruto discovers Orochimaru's lair through some clever detective work. He then sneaks in, avoiding all the traps. When he sees Orochimaru about to perform some sort of experiment on Hinata, Naruto jumps in and starts fighting. He might transform into his Nine - Tails Chakra Mode to gain an edge in the battle and save Hinata.