Annabeth could try to be more understanding of Percy's needs. In the fanfiction, she might give him space at first, but then slowly show up in his life in small, positive ways. Like bringing him his favorite food or helping him with a difficult task without being pushy.
Well, she could also try to improve herself in ways that she thinks would appeal to Percy. If Percy was always into people who were good at a certain skill, like archery, she might practice it and then show off her newfound talent to him, all while being sincere and showing that she's changed for the better.
There could also be external factors. For example, there might be a prophecy or some sort of danger that keeps Percy away from Annabeth. He might be so focused on dealing with this external threat that he doesn't have time or energy to think about getting back together with her.
Well, it completely shatters their trust. Percy would be devastated and feel extremely betrayed. He would question all their past interactions and wonder if Annabeth ever really cared about him.
The storyline could develop with Annabeth first reflecting on what went wrong in their relationship. She might write in a journal all the things she misses about Percy. Then she could take the bold step of showing up at Percy's new place unannounced. This would shock Percy but also open the door for communication.
Annabeth could show her determination by going out of her way to be in the same places as Percy. She'll be wherever he is, whether it's at his favorite spots or events he attends. And she'll always be there with a kind word or a helpful gesture, constantly reminding him of their connection. Also, she might face any danger or difficulty that comes her way while trying to get close to him again, showing that she's willing to do whatever it takes.
One possible reason could be a misunderstanding. Maybe she saw Percy doing something that she misinterpreted as a betrayal of their friendship or their cause. For example, if Percy was seen talking secretly with an enemy, Annabeth might jump to conclusions without knowing the full story.
One possibility is that Annabeth has to face some challenges to prove to Percy that she truly wants him back. She could be on a quest to find something important to Percy, like a lost item from his past. This would show her dedication. Also, there might be some new characters in the fanfic who try to stop her from getting back with Percy, adding more drama to the story.
It could be Chiron, the centaur. He's always keeping an eye on the campers and would likely be concerned if he caught them up to something. He might give them a stern talking - to and some extra chores as punishment.
She could start by being honest with Percy about her feelings. Just come clean and say why she wants to get back together. For example, she might say she realized she can't live without him. This straightforward approach might help Percy see that she is sincere.
Percy could be furious. He has always been loyal to Annabeth, and this betrayal would be a huge blow. He might immediately cut off all contact with her and go off on his own for a while to cool down.
It could bring them closer. Percy might find it endearing that Annabeth likes fanfiction about them, and it could lead to more open conversations between them about how they are perceived by fans.