Well, it could lead to a lot of drama. Maybe they get caught by their friends who are shocked at first but then gradually accept it. Their relationship might become more public and they have to deal with the reactions of others.
Yes, there are likely some fanfics that handle this situation in a tasteful way. Some fanfic writers might focus on the relationship development leading up to such a moment and then use it as a turning point in their story. They could be exploring the characters' emotions and how this new aspect of their relationship affects the overall plot and their interactions with other characters in the Percy Jackson universe.
Sure, there may be. Fanfiction writers often explore the relationship between Percy and Annabeth in various ways. When looking for such fanfictions, you can also search based on specific tags related to their relationship and the type of scene you're interested in. Just be aware that the quality can vary greatly. Some fanfictions might not do justice to the characters, while others will capture their essence really well and make the making - out scene feel natural within the context of their relationship.
They could get in trouble with school authorities. Maybe they'd be sent to the principal's office, get detention, or face some form of disciplinary action like being banned from certain school events.
Perhaps they are in a beautiful, secluded spot in Camp Half - Blood. They think they are alone and start to get closer. But then a younger camper stumbles upon them. Instead of it being a scandalous moment, Percy and Annabeth use it as an opportunity to talk to the younger camper about relationships and growing up. It could be a sweet story about sharing wisdom and handling awkward situations gracefully.
It could be Chiron, the centaur. He's always keeping an eye on the campers and would likely be concerned if he caught them up to something. He might give them a stern talking - to and some extra chores as punishment.
Yes, there are likely many fanfictions out there with this scenario. Fanfiction websites like Archive of Our Own (AO3) and FanFiction.net probably have numerous stories about Percy and Annabeth where they are caught kissing. You can search using their names and relevant keywords on these platforms to find such fanfictions.
You can expect a lot of emotions. It might show their deep love and passion for each other. Since they have a long history together in the original series, the fanfiction could play on that history and build up to the moment. There could also be some elements of their personalities shining through, like Percy's humor or Annabeth's intelligence, even during the more intimate moment.
Perhaps they are on a quest and find a beautiful, secluded place. The peace and beauty of the place make them realize their deep feelings for each other and they share a passionate make - out session. This could also be a moment of self - discovery for their relationship within the context of the quest.