One possible storyline could be that Sakura realizes Sasuke is too consumed by his revenge and she decides to focus on herself. She might start training harder to become a better ninja in her own right, perhaps specializing in medical ninjutsu even more. This could lead to her making new friends and allies within the village, and she could end up being a key figure in Konoha's development, without Sasuke in the picture.
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.
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.
Sakura's character could develop in a more independent way. Without being fixated on Sasuke, she can explore her own potential. For instance, she might become more confident in her combat abilities. She may start to take on more dangerous missions on her own or lead a team. This would show her growth as a ninja, as she no longer relies on the idea of winning Sasuke's heart to feel worthy.
If Naruto gives up on Sasuke in fanfiction, the storyline could take a very different turn. For one, the whole dynamic of their relationship, which has been a central part of the original Naruto story, would be completely disrupted. Naruto has always been determined to bring Sasuke back to the village. Without that drive from Naruto, Sasuke might become even more isolated and perhaps fall deeper into the darkness. This could also lead to different power alignments in the ninja world. Allies of Naruto might question his change of heart, and enemies could take advantage of the rift between the two former friends.
Sakura could also be more composed in her reaction. Given her growth as a character, she might try to reason with Sasuke first. She could say things like 'Sasuke, I know you must have a reason for this. Let's talk about it.' However, if Sasuke doesn't respond or seems hostile, she may start to feel betrayed. She might then use her medical ninjutsu knowledge to try to find a weakness in the snakes or in Sasuke's technique that is keeping her tied up. She could also start thinking about how she can turn the situation around and make Sasuke see reason.
Maybe Naruto gets tired of always chasing after Sasuke. He has his own life and dreams too. He might think that he has sacrificed enough of his time and energy on Sasuke, and it's time to focus on himself and the village. He could start to believe that Sasuke has made his own choices and he can't keep forcing Sasuke to come back.
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.
One possible reason could be Sasuke's continued obsession with revenge. His single - minded pursuit of power and vengeance might make Sakura feel neglected and unloved in the relationship. For example, he often goes off on long and dangerous missions alone, leaving Sakura behind worried sick. Another reason could be a fundamental difference in their values. Sakura values life and healing, while Sasuke has been more focused on destruction in his quest for revenge.