One possible plot could be extreme embarrassment for both. Percy might quickly turn away and then there could be a lot of awkwardness between them for a while. They would probably have to have a conversation about boundaries and respect.
One alternative could be fanfiction about their adventures together. For example, they could be exploring a new and mysterious realm, facing challenges and relying on each other's skills and friendship. Another option is writing about their character growth, like how Percy becomes more confident in his leadership skills and Annabeth in her wisdom, and how they support each other in these aspects.
No. Such fanfiction can be considered inappropriate as it objectifies a character in a rather vulgar way. Fanfiction should focus more on positive character development, relationships in a respectful and proper context, rather than creating scenarios that might make readers uncomfortable or violate the dignity of the characters.
Well, in many such fanfictions, Percy might be extremely flustered. He could blush furiously and quickly look away, being the gentleman that he is. After all, he has deep respect for Annabeth.
One possibility is that Annabeth challenges Percy to a little competition related to the field trip. For example, if they are at a museum, they could see who can find the most interesting historical fact about an exhibit first. This would be a fun and friendly way for them to interact and also show off their knowledge.
Annabeth could also try to solve the problem that's making Percy cry. If it's related to a quest or a danger, she'll start thinking of ways to fix it. In some fanfictions, she might say 'Don't worry, we'll figure this out together.' and then start making a plan.
She might be initially stunned. After all, Percy is a hero and his well - defined muscles could be a sign of his strength and capabilities. It could make her blush a bit, secretly admiring his physical form while also feeling a bit flustered as she tries to maintain her usual composed self.
Some fanfictions focus on a moment of vulnerability. Percy might be injured and his shirt is removed to tend to the wound. Annabeth, being the one to help, sees him shirtless. This situation often leads to a deeper emotional connection between them in the fanfiction. The author may use this moment to explore Annabeth's protective side towards Percy and how this new view of him affects her. It can also be a chance for some sweet, tender moments between the two characters.