In fanfiction, when Annabeth's cousins meet Percy, there could be a range of reactions. They might be initially suspicious of him, given his relationship with Annabeth. Maybe they test his abilities, especially if they are also demigods. They could also become fast friends if Percy shows his heroic and kind nature.
In fanfiction, the first meeting could start with Annabeth introducing Percy to her cousins. Her cousins might look at Percy with a mix of curiosity and caution. If they are from a powerful demigod family, they may be used to a certain standard. Percy, being the son of Poseidon, would hold his own, but still feel the pressure. There could be some polite small talk at first, but underneath there could be an undercurrent of judgment or evaluation from the cousins' side.
Grover could be one of Percy's friends to meet Annabeth. He's a satyr and has been with Percy through a lot. When he meets Annabeth, he might be really happy to see another important person in Percy's life.
There could be a school janitor who is actually an old demigod who retired from the hero business. He could give Percy some valuable advice based on his own experiences. And of course, Percy will surely meet Annabeth's classmates, some of whom could be friendly and some not so much, depending on how they react to the new boy in school.
In many fanfictions, when Annabeth's friends meet Percy, there could be a mix of reactions. Some might be initially cautious, especially if they've heard of Percy's dangerous adventures. But often, they end up being impressed by his skills and his loyalty to Annabeth.
In a fanfiction, they might meet in a dangerous, enchanted forest. Percy has been lost in there for days, and Annabeth has come to find him. As Percy hears the rustling of leaves, he gets ready to fight, but then he sees Annabeth emerge from the bushes. Annabeth quickly assesses the situation and starts leading Percy out of the forest, all while they catch up on what has happened since they last saw each other. There are strange creatures lurking around, but they feel safer now that they are together.
Well, in the fanfiction, Percy's friends might be in awe of Annabeth's intelligence. She could lead them in some sort of adventure or strategy planning. Maybe they initially have some misunderstandings but then come to respect her as they see how much she means to Percy.
One possible plot could be that Percy and Annabeth accidentally join the same online gaming group. They start off as rivals within the game, constantly trying to outdo each other in quests and challenges. But as they communicate more through the chat function, they start to realize they have a lot in common. They gradually become friends and start sharing their real - life problems. Eventually, they plan to meet in person at a gaming convention.
One possibility is that they meet by chance in a big city. Percy might be working as a marine biologist and Annabeth as an architect. They could initially not recognize each other due to the years apart. Then, as they start talking, the old memories and feelings start to resurface.