The fanfiction could also focus on Percy's emotional journey. He could be constantly haunted by memories of Annabeth. His days would be filled with a deep sense of longing and regret. As he wishes for her to be alive, he might start seeing signs or having dreams that he believes are connected to her possible return, which drives him to keep believing against all odds.
Over time, Percy would likely start to have a glimmer of hope. He might meet someone who gives him a lead or has a bit of information about a possible way to revive Annabeth. This hope would give him the strength to keep going, even when things seem impossible. He'd focus all his energy on this one goal, shutting out other distractions in his life.
In this kind of fanfiction, perhaps it's set in a situation where Athena has a task for Percy and Annabeth. The 'lemon' could be a metaphor for a sour situation that they initially face. They might be in a place where they are at odds with the local deities or creatures, and they have to use their combined skills, Percy's strength and water - related powers, Annabeth's strategic mind from Athena, to get out of it. As they progress, they might have some internal struggles within their relationships too.
Well, one possibility is that Annabeth realizes she made a mistake in their break - up. Maybe she starts by trying to be around Percy more often. For example, she could join him on his quests or training sessions under the pretense of helping out. She might also try to show Percy how much she has changed or grown since they parted ways. This could involve her being more understanding of his needs and fears, something she perhaps wasn't so good at before.
The fanfiction might explore how Percy's relationship with other characters changes. For instance, he may have to face the judgment of Athena, Annabeth's mother, as he takes on the role of father. Athena could be skeptical or even hostile at first, but over time, Percy could prove himself worthy. Also, Percy would have to interact differently with his own friends and family, like his mother Sally, who might now be a grandmother - like figure to Annabeth.
The fanfiction might explore Percy's relationships in a new light. For example, his relationship with Annabeth could be strained as he now has loyalties to Gaea. His friendships with other demigods might also change drastically. Maybe he'd be seen as a threat and have to fight against his former allies. Overall, it would be a complete upheaval of the original Percy Jackson story dynamics.
It could be a beach day scenario. Maybe they are having a day off from their adventures and just relaxing on the beach in their bikinis and swim trunks, enjoying the sun and having some light - hearted conversations.
One possibility could be that they are in a school setting where they have to wear uniforms. Percy might constantly be getting in trouble for not following the uniform code properly, like having his tie askew or his shirt untucked. Annabeth, being more organized, tries to help him out. This could lead to some comical moments as well as deeper conversations about fitting in and following rules.
One possible plot could be their daily adventures in a new city. They might face challenges like dealing with strange neighbors or finding new jobs. Maybe they also have to hide their demigod powers from the normal humans around them.
One possibility could be that they are banished due to a false accusation. Maybe someone in the camp frames them for a serious crime they didn't commit, like stealing a powerful magical artifact. So, they are forced to leave and then have to prove their innocence while on the run from those who banished them.
Well, perhaps Percy takes Annabeth on a quest to a special location, like an ancient Greek ruin they've always wanted to explore. During this adventure, he finds the perfect moment when they're alone and surrounded by the beauty of the place to pop the question.