I'm sorry I haven't read a specific fanfiction with this exact plot, but generally in such a scenario, Naruto would probably use his powerful jutsu like Rasengan. He'd sense Hinata in danger from Orochimaru, rush to the scene, and engage in a fierce battle with Orochimaru to rescue Hinata. Maybe he'd also get some help from his friends along the way.
Well, in one possible scenario, Sasuke might be under some sort of dark influence. Naruto, being the hero he is, senses Hinata is in danger from Sasuke. Naruto arrives just in time, using his newfound powers, perhaps a combination of Sage Mode and his Nine - Tails chakra. He blocks Sasuke's attack aimed at Hinata and then tries to reason with Sasuke, reminding him of their past friendship and how Hinata is an innocent bystander. Eventually, Sasuke relents and Hinata is saved.
I haven't read this specific fanfic, so I can't summarize it directly. But generally, it might involve Naruto using his skills and determination to rescue Hinata from some sort of danger related to Kumo. Maybe Naruto has to fight against Kumo ninjas or overcome some tricky situations to ensure Hinata's safety.
Well, Naruto might discover some new Orochimaru's plan during the rescue. Maybe Orochimaru was trying to use Hinata to get some information about the Byakugan. After saving Hinata, Naruto could go on a mission to stop Orochimaru from achieving this goal with the help of his friends like Sasuke and Sakura.
I think the most exciting part would be when Naruto taps into his full power, perhaps the Nine - Tails' chakra or Sage Mode, to overpower Orochimaru. He'd be in a state of pure determination, and seeing him go all - out against Orochimaru to save Hinata would be really thrilling. Also, Hinata might show some hidden strength or courage during this part, making it even more exciting as they work together to overcome Orochimaru.
Well, in a common scenario of such a fanfiction, Naruto might sense Hinata and her squad are in danger. He would quickly dash to the location. Using his powerful jutsu like Rasengan, he defeats the enemies threatening them. He then checks on Hinata and her squad members, making sure they are okay.
One possible plot twist could be that Orochimaru was actually being controlled by a greater evil, and Naruto has to not only save Hinata but also deal with this hidden threat. Maybe Orochimaru was forced to target Hinata to draw Naruto out for this other entity's purposes.
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.
Perhaps in this fanfiction, Naruto has some sort of special power or transformation that he unlocks just in time to face Orochimaru. It could be related to his Nine - Tails chakra in a new and unique way. He uses this power to break through Orochimaru's defenses and save Hiruzen. Naruto might also use his knowledge of Orochimaru's weaknesses that he has learned either from Jiraiya or from his own past encounters with Orochimaru's minions.
Hinata saving Naruto from Pain in fanfiction can take on many forms. It could be that Hinata has been secretly training and has a new set of abilities that she unleashes to save Naruto. This not only changes the course of the battle but also the dynamics between the characters. Fanfic writers might also add some emotional elements, such as Hinata's inner thoughts and feelings during the rescue. This makes the story more engaging and gives readers a fresh perspective on the Naruto - Hinata relationship.
Maybe in the fanfiction, the situation is more complex. Hinata is being held hostage by the Cloud in a heavily guarded location. Naruto infiltrates the place secretly. He uses his transformation jutsu to disguise himself as a Cloud ninja at first to get closer. Then, he reveals himself and uses his Sage Mode to take on all the guards. He finally rescues Hinata and they escape together.