In some fanfictions, Naruto might use his new jutsu skills. For example, he could use a more powerful Rasengan variant to disrupt Hidan's ritual and save Asuma. Maybe he combines his Sage Mode with the Rasengan to create a super - powered attack that Hidan can't counter.
One strategy could be that Naruto uses his speed. Since he has trained a lot, he can move faster than Hidan can react. He quickly dashes in, grabs Asuma, and gets out of Hidan's range before Hidan can even start his ritual. It's a simple yet effective way in the world of fanfiction.
The Akatsuki would surely be affected. They would lose one of their members, which could disrupt their plans. Also, it might change the way other characters view Naruto. Some might see him as a more formidable threat, while others might see him as a hero for taking out a dangerous enemy.
Well, it could happen if Naruto has some sort of special weapon. For example, he might get a sword that can disrupt Hidan's connection with his voodoo - like powers. Once that connection is broken, Naruto could easily defeat and kill Hidan. Also, Naruto's growth in chakra control and strength could play a role. With his enhanced abilities, he could overpower Hidan and deliver a fatal blow.
Asuma's training might make Naruto more disciplined. Naruto is known for his impulsive nature, but under Asuma's guidance, he could learn to think before acting.
In a Naruto saves Asuma fanfiction, Naruto could use his new jutsu skills. Maybe he discovers a way to reverse the damage done to Asuma. It could be related to his Sage Mode powers, which he could use to heal Asuma's wounds.
Yes, there are quite a few. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Some of them might focus on their unique bond, like adventures they could have had together or how Asuma's teachings could have influenced Naruto in different ways.
One interesting Naruto Asuma fanfiction could be about his unfulfilled dreams. It might show how he had plans for the future of the village and his students that were cut short by his untimely death. It could also include his thoughts on important events in the Naruto world that he didn't get to fully participate in. Fanfictions often give a chance to explore these 'what - if' scenarios.
One idea could be to explore her backstory. Maybe she was an outcast in her village due to her unique beliefs and fighting style, similar to Hidan in the original. She could be on a journey to find a place where she truly belongs.