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.
In a fanfic, they could meet at a school event. Percy is there, a bit out of his element as he's more used to the wild adventures. Annabeth spots him and goes over. They start chatting about the differences between their school lives and their demigod lives. They might then get into an argument about which is more important, academic knowledge (which Annabeth values) or practical skills (which Percy has in abundance). But in the end, they realize that both are important and laugh it off, and then start planning their next weekend adventure.
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.
Their relationship is likely to be complex. They are friends and comrades who have fought side by side many times. So, there's a strong bond of loyalty between them.
They might be shocked. Percy is not an ordinary guy, and his abilities would be quite a surprise to them.
Some of Annabeth's friends could react with laughter and jokes, while others might be a bit flustered and not know how to act. It really depends on the personalities of the friends in the fanfiction.
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.
In a fanfiction scenario, Annabeth and Percy are on a quest. Annabeth ignores Percy's gut feeling about a certain path. They take her chosen path and end up in a lot of trouble. After they manage to get out, Annabeth realizes she should have listened to Percy. So, she simply says, 'Percy, I'm sorry. I should have trusted you.'
When Percy's mortal friends first meet Annabeth in fanfiction, it could be in a busy place like a park or a coffee shop. Percy's friends would likely be struck by Annabeth's beauty and intelligence. However, they would also sense her wariness. Annabeth, on the other hand, would be cautious about revealing too much to these mortals at first. As they start to talk, the friends might ask her about her relationship with Percy, and Annabeth would have to be careful with her answers to protect their world of demigods from being exposed.
The first encounter between Annabeth's friends and Percy in fanfiction can vary greatly. It could start with a simple introduction in a common place like Camp Half - Blood. Annabeth's friends might be friendly right away, asking Percy about his quests and his life outside the camp. Or it could be in a more dangerous situation where they have to rely on each other immediately. In this case, they might not have time for formalities and quickly start working together, getting to know each other's strengths and weaknesses as they face the threat at hand.
Percy would probably be curious. He's always up for new adventures and meeting new people. He might immediately ask Harry about his magic and how it works. Annabeth would be more cautious. She'd be observing Harry, trying to figure out if he could be trusted. But once she realizes he's on the side of good, she'd start asking intelligent questions about the wizarding world, like how their education system compares to Camp Half - Blood's training.