The story would take a very different turn. The dynamic between Naruto and the rest of the characters would change. For example, Naruto might become more focused on protecting the village without the distraction of Sasuke. His relationships with other friends like Sakura might also be affected. Sakura might be disappointed in Naruto at first for giving up, but then they could bond over the loss of Sasuke in a different way.
If Naruto gives up his dream, Sasuke might view him as a weakling. Sasuke has always been competitive with Naruto, and Naruto's giving up could make Sasuke lose respect for him. Their relationship could become strained as Sasuke may distance himself from Naruto, thinking he is no longer the worthy rival he once was.
One possible reason could be that Sakura realizes Sasuke is too consumed by his revenge and she can't keep waiting for him to change. She might see that he is constantly putting her in a secondary position and she decides she deserves better. For example, Sasuke has left the village multiple times, leaving Sakura heartbroken each time.
One possible reason could be that Naruto realizes Sasuke is too far gone in his quest for revenge. Naruto might see that no matter how much he tries, Sasuke won't change his ways, so he gives up. For example, if Sasuke keeps attacking innocent people in his pursuit of power to defeat Itachi's enemies, Naruto might finally lose hope.
One idea could be that Naruto and Sasuke team up to face a new and powerful enemy from a different dimension. This enemy has the ability to manipulate time, which throws the entire ninja world into chaos. Naruto and Sasuke, with their combined skills and understanding of each other, start to figure out the enemy's weaknesses. They have to rely on Naruto's Rasengan and Sage Mode, along with Sasuke's Sharingan and Rinnegan powers. Their journey to stop this enemy also involves them reconciling some of their past differences more deeply as they face challenges together.
On a larger scale, it might change the way the story views the concept of unrequited love. Instead of the typical 'waiting for the loved one' trope, it shows that characters can move on. This can be an important message for readers, especially those who can relate to being in a one - sided love situation. It also might shift the focus of the story more towards Sakura's personal growth and her new goals, rather than the Sasuke - centered plot that it might have been before.
One plot implication could be a shift in the power balance in the Naruto universe. With Naruto having the Rinnegan, the Akatsuki or other villainous groups might see him as an even greater threat and target him more aggressively. Another aspect could be the relationship between Naruto and Sasuke. Sasuke giving away such a powerful ability shows a great deal of trust and sacrifice. It could lead to a deeper bond between them, and they might team up more often to face new challenges.
Well, if Sasuke gives Naruto his Rinnegan in fanfiction, Naruto's abilities would be greatly enhanced. The Rinnegan is extremely powerful, granting abilities like the Six Paths techniques. Naruto might gain better control over space - time, be able to use powerful gravitational and repulsive forces more effectively, and perhaps even access new forms of chakra manipulation. This could make him an even more formidable opponent, able to take on stronger enemies with ease.
Another factor could be the nature of his ninja life. It's full of uncertainties and risks. He may worry that if he falls in love, his loved one could become a target for his enemies. Naruto has made many enemies over the years, and he wouldn't want to put someone he loves in danger, so he decides to give up on love.
Maybe they embark on an adventure to help a small, oppressed village. They use their combined skills to overthrow the tyrant ruling the village and then stay for a while to help rebuild it. During this time, they learn about different ways of life and make new friends. This adventure would strengthen their bond and also their reputations as great shinobi.