In a 'Naruto rescued by Rin' fanfiction, perhaps Naruto is trapped in a genjutsu created by a rogue ninja. Rin, with her knowledge of the Sharingan (if she has access to it in the fanfic), is able to detect the genjutsu and break it. She then rescues Naruto from the mental prison and together they fight off the attacker. Rin could also have some unique abilities in this fanfic that she uses to protect Naruto from further harm.
One possible plot could be that Naruto is in a dangerous battle against a powerful enemy. Rin, using her medical ninjutsu skills, manages to break through the chaos of the fight and reach Naruto just in time. She heals his critical wounds and then uses her strategic mind to help him find a way to defeat the enemy.
It could be a rogue ninja from a hidden village who has a vendetta against Naruto for some reason. Maybe Naruto unknowingly disrupted this ninja's plans in the past, and now the ninja wants revenge. This would set up a situation where Naruto is in danger and needs Rin's help to be rescued.
One possible plot could be that Rin is brought back to life through some powerful jutsu. Naruto, who has always been intrigued by stories of her, meets her and they slowly fall in love. They get married and then have to deal with the shock of the ninja world as it's an unexpected union.
One possible plot could be that Naruto somehow travels back in time and meets Rin. He might try to prevent her tragic death. Since Naruto is known for his determination and never - give - up attitude, he could use his skills and knowledge to change the events that lead to her death.
Well, one possibility is that Rin would instill in Naruto her own values from the Hidden Leaf. Maybe she'd focus on teaching him about teamwork early on. Since she was a medic - nin, she could also start training Naruto in some basic medical ninjutsu, which would be a unique addition to his skills.
In this fanfiction, perhaps the story could focus on how Kakashi and Rin's adoption of Naruto changes the relationships in the village. Naruto might not be as ostracized as he was in the original story. Also, they could help Naruto deal with the Nine - Tails inside him in a more gentle and effective way compared to what happened in the canon story.
One possible plot twist could be that Rin's adoption of Naruto leads to him learning unique jutsu from her early on. Maybe she has some secret knowledge passed down in her family that she imparts to Naruto, which gives him an edge over his peers in the ninja academy.
One possible plot could be that Rin and Kakashi are married and they play a role in Naruto's growth. Maybe they pass on some of their skills and wisdom to Naruto. For example, Kakashi could train Naruto in new jutsus, and Rin could help with medical ninjutsu training.
One possibility is that Rin would have told Naruto about Obito. This could shape Naruto's view of the world in a very different way. He might be more determined to find a way to bring peace to the world, not just for the present but also to fulfill what he might see as Obito's unfulfilled dreams. And Naruto's relationship with Kakashi could also be very different, as Kakashi has a deep connection with Rin and Obito. They could form a more complex bond, with Naruto having a unique perspective on Kakashi's past.
The plot could revolve around their adventures together as a married couple. Maybe they discover a new magical threat and have to use their combined powers and skills, with Shirou's swordsmanship and Rin's magic, to protect their world. They also might start a family and raise a child with magical abilities, passing on their knowledge and values.
One possible plot could be that Obito arrives just in time to save Rin from being captured by enemy ninjas. He uses his Sharingan abilities to outwit the enemies and then escapes with Rin. Maybe he has to fight through a horde of strong opponents, but his determination to save Rin gives him the strength to persevere.