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.
A really interesting plot twist could be that Orochimaru has a change of heart mid - attack. He sees something in Hinata or Naruto's determination to save her that makes him question his own actions. However, his old allies don't like this change and turn on him, so Naruto has to fight Orochimaru's former comrades while also protecting Hinata.
Well, a plot twist might be that Hinata has some hidden power that Orochimaru wants to steal. Naruto saves her, but then realizes that Hinata's power is the key to a much larger mystery in the ninja world. So they end up on a journey together to figure out what her power really means and how to protect it.
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.
A plot could be that there's a tournament - like situation where Neji and Hinata are pitted against each other, but Neji goes too far. Naruto, who has feelings for Hinata (even if he hasn't fully realized it yet), jumps into the fray. He uses his shadow clones to confuse Neji and then uses his Rasenshuriken in a non - lethal way to stop Neji. This not only saves Hinata but also starts a new chapter in their relationships, with Naruto becoming more aware of his feelings for Hinata and Neji starting to question his own actions and beliefs.
The plot could start with Hinata being alone in a secluded part of the village and the bullies spotting her. They start to tease her about her family or her lack of confidence. Naruto, who has a strong sense of justice, comes across the scene. He uses his skills and his reputation as a hero to scare the bullies away. After that, Hinata and Naruto have a moment where Hinata thanks Naruto, and Naruto encourages her to be more assertive.
Well, a plot twist might be that when Naruto arrives to save Hinata, he finds out that Hinata has already made a deal with the Kumo ninjas for the sake of Konoha. So Naruto has to figure out how to honor Hinata's decision while still protecting her. Also, it could be that the Kumo situation is just a cover - up for a much larger conspiracy involving other villages. And there's a chance that the person Naruto thought was Hinata in danger was actually a clone, and the real Hinata is in an even more dangerous situation elsewhere.
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, a plot twist might be that Naruto actually gets captured by the Akatsuki while trying to save Gaara. Then, Gaara, in his weakened state, has to find a way to save Naruto instead. This would completely change the dynamic of the story. Or, it could be that the Akatsuki's real target isn't Gaara at all, but Naruto, and they use Gaara as bait. So when Naruto arrives to save Gaara, he walks right into their trap, but then uses his wits and new jutsu to turn the tables on the Akatsuki.
One possible plot twist could be that Sasuke has been under a genjutsu that makes him target Sakura, and Naruto has to break the genjutsu first to truly save her. Maybe the one who cast the genjutsu is a new, powerful enemy who wants to disrupt the bond between Team 7. Naruto, with his strong will and newfound powers, manages to find the source of the genjutsu and free Sasuke from its control, thus saving Sakura from harm.
One possible plot twist could be that Orochimaru has a new jutsu that Naruto has to figure out quickly to save Sakura. Maybe it's a jutsu that messes with time, so Naruto has to break through different time loops to reach Sakura. Another could be that Orochimaru has an unexpected ally who tries to stop Naruto from rescuing Sakura. This ally could be someone from Naruto's past who has a grudge against him.
One plot twist could be that the princess is actually a spy. She was planted to be 'captured' so that Naruto would come to save her and lead the rescuers into a trap. But Naruto, being observant, notices some small details that give her away and he has to turn against her to save himself and his comrades.