There could be all sorts of fanfictions. Maybe it's a story of her frantic search or her dealing with her emotions during his absence.
The fanfiction might focus on Annabeth's internal struggle and growth as she copes with Percy's disappearance. Or it could be an adventure where she teams up with others to try and locate him.
One possible plotline could be Percy going on a desperate search for Annabeth. He might start by retracing her last known steps, asking all their mutual friends and allies if they've seen her. Another could be Percy having to face some old enemies alone in his search, as Annabeth was usually the one who strategized with him. And he could also discover some hidden secrets about Annabeth's past during the search that he never knew before.
Annabeth becomes more worried and determined to find him. She might also show a more vulnerable side as she deals with his absence.
Percy might be a source of comfort for Annabeth. School can be a tough place sometimes, with all the academic pressure and social drama. Percy is someone she can always rely on, and without him, she feels less secure. Maybe he has a unique way of making her laugh or feel better when she's down, and she misses that a great deal.
In many Percy Jackson fanfictions, Percy and Annabeth might kiss during a moment of great relief. For example, after they survive a really tough battle against some powerful monsters. It could be in the middle of a celebration, when the adrenaline is still high and they just look at each other and share a passionate kiss.
One reason could be that he was framed for a crime he didn't commit and had to run away to clear his name. In the complex world of the fanfiction, there could be a conspiracy against him. Some powerful beings might not want him to be with Annabeth or have a child, so they set him up and made him disappear.
Well, one possibility is that the other characters would be in a state of panic. Grover might use his nature - related powers to try and track her down. The demigods would likely form search parties and head to all the places Annabeth was known to frequent, like the Camp Half - Blood or the various locations in the mortal world where she had quests. They would also probably start to suspect some of the old enemies, like the Titans or the Giants, of being behind her disappearance.
In this kind of fanfiction, they might have an adventure together. Maybe they'll face a new monster that they haven't encountered before. For example, a mythical creature from a less - known part of Greek mythology.
One scenario could be that they compete in some local beach games. Percy would be great at water - related games, and Annabeth could use her strategic mind in other games like beach volleyball. Another could be that they get lost in a new town during their vacation and have to rely on each other's skills to find their way back.
She might like the ones that focus on their romantic relationship. Since they have a strong connection in the original story, fanfictions that explore their love in different ways could be appealing to her.
Annabeth would be in a tough situation. On one hand, she has to take care of herself and the baby. On the other hand, she's desperate to find Percy. She may be feeling a mix of fear, anger, and determination. She could be using her intelligence to analyze any clues that might lead to Percy's whereabouts. She might also be reaching out to any allies she has in the mythological world, asking for their help in finding Percy.