Well, it often depends on the creativity of the author. Sometimes Percy might use a heartfelt talk or a special gesture to bring Annabeth back.
Well, Annabeth is a strong character. When she finds out Percy was abused in the fanfiction, she likely starts by trying to comfort him. She may use her intelligence to figure out how to help him deal with the trauma. Maybe she'll also plot some sort of revenge against the abuser in her own clever way, all while being a great source of emotional support for Percy.
One reason could be stress. Maybe they are in a really tough situation in the fanfiction, like facing a powerful enemy. Annabeth, being under a lot of pressure, snaps at Percy if she thinks he's not taking things seriously enough. Another possibility is jealousy. If Percy gets a lot of attention from someone else, Annabeth might snap out of insecurity.
Annabeth could also be angry, not at Percy but at the situation or the forces that led to his death. She might vow revenge and start on a journey to find out who or what was responsible for Percy's sacrifice and make them pay. This could lead her into a whole new set of adventures and challenges as she tries to come to terms with her loss.
She might be heartbroken at first. She could try to jog Percy's memory by showing him things that were important to them.
He could be a bit shy. Since he also has feelings for Annabeth but was too nervous to make the first move. So when Annabeth asks him out, he blushes and stammers a bit, like, 'Uh, yeah, Annabeth. That sounds great.' And then he would be really happy inside, thinking about all the things they could do together on their date.
In some fanfictions, Annabeth might calm Percy by simply talking to him in a soothing voice. She could remind him of their shared adventures and how they've overcome difficulties together.
It can develop through this moment of closeness. Just the act of her sleeping on him can show a level of trust, which Percy might recognize and it deepens their bond.
He gives her a big hug. Physical contact can be very comforting, and Percy's hugs are always warm and reassuring.
He could also become withdrawn and depressed. Percy and Annabeth have a very strong bond, and her death would leave a huge void in his life. He might isolate himself from his friends and family, lost in his grief and memories of her.
Then, she would probably be angry. Annabeth is a strong - willed character. She would feel betrayed and used, and her anger would fuel her to find out the truth. She might start her own investigation to figure out what's really going on with Percy, whether he's been influenced by someone or if there's another reason for his actions.