Well, it could be that Draco did something to cross Annabeth in the fanfic's plot. Maybe he messed with one of her plans or said something disrespectful about her friends.
In the fanfiction world, perhaps Draco made a big mistake that directly affected Annabeth. It could be related to a mission they were both involved in. For example, if they were on a quest together and Draco's actions put Annabeth in danger or ruined the chances of success. Annabeth, being a strong - willed character, would send a howler to scold him. Also, it might be that Draco unknowingly broke some sort of rule or code that Annabeth holds dear. This could range from how he treats magical creatures to how he deals with other characters in their fictional world.
Well, it could be because Hermione did something that Annabeth considered a betrayal in the context of the fanfic. Maybe she broke a pact or made a decision that went against Annabeth's plans.
Perhaps Draco has been bullying some of Percy's friends or younger students that Percy feels responsible for. In fanfiction, the relationships can be tweaked a bit. Percy might be more hot - headed in some versions and not put up with Draco's pure - blood supremacist attitude towards those he deems as 'lesser' students. So he sends the Howler as a strong warning.
He'd probably be shocked at first. After all, getting a howler is quite embarrassing.
Often, when Draco gets a howler from Annabeth in fanfiction, it creates tension and conflict. It might expose something secret or force them to confront their feelings. Also, it could draw in other characters and complicate the story even more.
It could be about Draco's performance at Hogwarts. Maybe Lucius is disappointed in Draco's grades or his behavior towards other pure - blood families' children.
However, if Hermione knew she was in the wrong, she might feel ashamed. But still, she would likely try to make amends in a more private and rational way. She wouldn't just take the public humiliation lying down. Instead, she'd approach Annabeth later and say something like 'I'm sorry for what I did, but the howler was too much. Let's talk about this properly.'
Perhaps another student, like Hermione, could send the Howler in a very creative twist in the fanfiction. Maybe she has found out that Draco is planning something malicious against the Gryffindors and uses the Howler as a way to threaten him into stopping.
He might be initially shocked. Draco is used to being the one in control and having others be intimidated by him. A Howler from Percy, someone he may not have considered a huge threat before, would be unexpected. He could be angry and vow revenge in his mind.
Annabeth is a very determined and strong - willed character. In her mind, Percy is part of her 'territory' because she has fought beside him and for him. She may feel that she has a claim on him, and this sense of ownership makes her territorial.
Perhaps Annabeth made a decision without consulting Percy that put him in danger. In the fanfiction world, this could lead to her feeling guilty and apologizing. For example, if she led their group into a trap because of her over - confidence, she'd realize her mistake and say sorry to Percy.