In the fanfic, Sakura's personality might be portrayed in a way that makes her less appealing to Naruto. If she is written as overly jealous or possessive, it could push Naruto away. Naruto, who values freedom and friendship deeply, may not tolerate such behavior. Meanwhile, other characters around him could be shown as more supportive and positive, causing him to gradually lose interest in Sakura.
One possible reason could be that Sakura was too focused on her own goals and neglected her relationship with Naruto. In some fanfics, she might be so driven by her medical ninja career or her need to prove herself that she doesn't give Naruto the attention he needs. Another reason could be that Naruto's own growth and experiences lead him to find someone else more compatible. Maybe he meets a character who understands his pain of being an outcast more deeply, and Sakura just doesn't fit into that new vision of his future.
Perhaps in the fanfic, new characters are introduced that have a stronger connection with Naruto. These characters might share similar past traumas or have a more exciting chemistry with him. For example, a character who also has a demon sealed inside them could bond with Naruto on a different level compared to Sakura. And Sakura, being too hesitant or slow in expressing her true feelings, loses her chance.
One possible plotline could be that Sakura realizes she has lost her chance with Naruto after he has found love with someone else. She then has to deal with her unrequited love and find a way to move on. Maybe she focuses more on her medical ninja skills and becomes a renowned healer in the village.
It could also be that Naruto is forced to leave Sakura due to some external threat or danger. For instance, if there is an enemy targeting Naruto and he fears that being around Sakura will put her in harm's way, he would choose to leave to keep her safe. This is in line with Naruto's selfless nature as seen throughout the series.
In some fanfics, Naruto may ignore Sakura because he has his own emotional traumas to deal with. He might find Sakura's presence a reminder of things he wants to forget or move past, so he chooses to keep his distance. For example, if he has faced a lot of rejection from her in the past, he could decide to just cut her out of his life.
One possible reason could be that Naruto has his own goals and missions that he is so focused on that he tries to avoid distractions, and Sakura might be seen as a distraction in some sense. For example, he is always aiming to become Hokage and improve his ninja skills, and any personal relationship drama could get in the way of that.
Growth and self - discovery are often themes as well. Through the experience of losing her chance with Naruto, Sakura can grow as a person. She might discover new aspects of herself, like her own strength outside of her relationship with Naruto. Maybe she realizes she can be independent and still be happy, even if she can't be with the one she loves.
Another possibility is jealousy. Maybe in the fanfic, Sakura shows more interest in another character, like Sasuke perhaps, and Naruto, who has his own feelings for Sakura, snaps out of envy. It's a common trope in fan - made stories to play with the characters' emotions like this.
Another reason could be a very dark and alternative interpretation of the characters. Maybe the writer has a different view of Naruto's character arc and how he could be pushed to the extreme. And they see Sakura as a character that could be sacrificed in this extreme version of Naruto's story. But this is a very far - fetched view considering the original story's development.
One reason could be that she realizes she has been too dismissive of Naruto's feelings for her. She might have led him on or been cruel in rejecting his advances in the past. Another reason is that she finally understands how much Naruto has sacrificed for the village and for her personally, and she feels guilty for not showing him more respect and gratitude earlier.
It could also be a way for some fans to explore alternative relationship dynamics. Maybe they were not fully satisfied with how the relationships in the original Naruto story developed. For example, they might have always thought there was some unspoken tension between Naruto and Sakura that could have led to something more, and this is their way of exploring that idea in a fictional and extreme way. However, this does not justify the unfaithful nature of the plot.
Some fanfic authors might write it as a form of wish - fulfillment. They might prefer the Naruto - Sakura relationship more than the Sasuke - Sakura one. So, they create a scenario where Sakura turns to Naruto in a romantic way. Additionally, it could be a way to explore the characters' personalities further. For example, how Sasuke would handle being betrayed and how Naruto would deal with being involved in such a situation. It gives a chance to dig deeper into their emotional and moral aspects.