They could also consult the original source material more carefully. By really understanding Annabeth and Percy's relationship and the world they exist in, they can create a fanfiction that is more acceptable. Maybe they need to focus on the things that made the original story great, like the adventures and the bond between the characters, instead of just using the high school setting as a cheap gimmick.
The author of the fanfiction could rewrite it to better align with the characters' personalities. For example, by making Percy more in - character and the high school setting more unique.
Another way is through the intervention of their friends. Their mutual friends could bring them together and encourage them to see things from the other's perspective. The friends can share stories about how each of them is really a good person deep down. This might soften their hearts towards each other.
She could also talk to the author of the fanfiction. Maybe there was a misunderstanding or the author could clarify some things that are scaring her. For instance, if it's about Percy's character, the author could explain their creative choices.
They could have an honest conversation. Just sit down and talk about their feelings and misunderstandings. This simple act can clear the air and resolve the hatred.
One possible reason could be that the fanfiction misrepresents their characters. Maybe it portrays Percy in a way that Annabeth doesn't like or goes against the essence of their relationship as she sees it.
Alexis could also try to engage in discussions with other fans of Beckett. By sharing her/his views, Alexis might gain new perspectives and either change her/his mind about fanfic in general or at least find a subset of fanfic that she/he can tolerate.
One way could be for the writer of the fanfic to rewrite Brick's character to be more palatable to Blossom. Maybe make him more heroic or less antagonistic.
Communication is key. They need to sit down and talk about their feelings. For example, Percy could tell Annabeth that he's only being friendly with the new demigod who seems to like him, but his heart is with Annabeth. Annabeth could then share her insecurities. Another way is through a shared adventure. If they go on a quest together where they have to rely on each other, they'll realize that their relationship is stronger than any jealousy - inducing situation. They could also be given a task by Chiron that forces them to work together and face their jealousy head - on.
Percy could stand up to Annabeth. He's a strong character. He might confront her directly about her bullying behavior and tell her it's not okay. This could lead to a turning point in their relationship, where Annabeth realizes she's been wrong.
One idea could be that Percy and Annabeth are new students at a high school filled with mythological secrets. They have to hide their demigod status while also dealing with normal high school problems like exams and bullies. Maybe they join the school's swim team and debate club respectively, which could lead to some interesting interactions.
Maybe she's jealous of Percy's popularity at school. It could be that he always gets more attention, whether it's from teachers or other students.