At first, Annabeth might be a bit embarrassed if Percy makes a really big scene. But deep down, she'd be really happy. She would try to act cool in front of her classmates, but as soon as they are alone, she would let all her emotions out. She might even cry a little out of happiness because she misses Percy so much when they are apart.
She's probably super excited. She might run and give him a big hug right away.
Annabeth's reaction could vary. If she's been missing Percy a great deal, she'll be overjoyed. She might show him around the school, proud to introduce him to her friends or teachers (if possible in the context of the fanfiction). However, if she's in the middle of something important like a test or a big project, she could be a bit annoyed at first but still be happy to see him deep down.
Maybe Percy brings her a special gift from his adventures, like a unique seashell. Annabeth would be really happy and they might share a sweet moment in the schoolyard.
She could also become cold and distant. Instead of engaging in a shouting match, she might simply walk away and give Percy the silent treatment. This can be a powerful reaction as it makes Percy realize that his yelling has pushed her away and he has to make an effort to fix things.
She might be initially very angry. Annabeth is intelligent and perceptive, so she would likely feel betrayed that Percy thought he could deceive her. For example, if Percy lies about a mission, she could find out the truth later and confront him immediately, demanding an explanation.
She might be shocked at first. Since they are usually comrades or friends, Percy screaming at her is out of the ordinary, so she could just stand there in disbelief for a moment.
She might be really surprised at first. I mean, if it's unexpected, she could just stand there for a moment, not knowing what to do. Then she might blush a lot because she's embarrassed that it happened in public. But deep down, she could also be really happy that Percy made such a bold move.
Percy would be overjoyed. He's always happy to see Annabeth. He'd probably have a big grin on his face and give her a huge hug right away.
She might be a bit surprised at first. After all, fanfiction isn't always something they talk about. But then she could be interested and ask Annabeth more about it, like what kind of stories are in the fanfiction.
Annabeth could be annoyed. If she doesn't understand why Percy is staring, she might think he's being rude or wasting time. So she could give him a sharp look or a sarcastic comment to snap him out of it.
She would likely be furious at first. After all, it's a huge invasion of privacy.