In the fanfiction, Rosalie could be a strict but loving mother to Percy. She would teach him the ways of their world, whether it's about their family's history or the skills he needs to survive. Percy, on the other hand, would feel a deep sense of loyalty towards Rosalie. He might also be in awe of her beauty and strength. There could be tender moments between them, like when Rosalie comforts Percy after he has a bad experience, and also moments of tension when they have different opinions on how to handle a situation.
It could be a very protective relationship. Rosalie would probably be very protective of Percy, not wanting him to get into any trouble. Percy might look up to Rosalie and try to make her proud.
One possibility could be that Percy has special abilities inherited from Rosalie. Maybe he has her beauty but also a unique power like being able to charm people with his words. The story could explore how he grows up in a world full of supernatural elements and has to deal with the expectations that come with being Rosalie's son.
He might become more reserved. Since Khione is often depicted as a somewhat cold and aloof goddess, Percy could inherit some of those traits. He may not be as open and warm as he used to be.
If Percy was the son of Achilles, his relationship with Annabeth might become more strained. Percy could become more headstrong and impulsive because of the influence of Achilles' traits, which would clash with Annabeth's more strategic and cautious nature. For example, in battle situations, Percy might rush in without a proper plan, causing Annabeth to worry more about his safety and get frustrated with his new behavior.
The relationship would be complex. Artemis might initially be a bit strict, given her nature as a goddess. But she would also be very protective of Harry. Harry would grow to admire Artemis for her strength and wisdom. They would have many moments of teaching and learning from each other. For example, Artemis could teach Harry how to move stealthily in the forest, and Harry could introduce Artemis to some of the more modern magical concepts he learned in the wizarding world. Their relationship would be a blend of the ancient and the modern, the wild and the civilized.
If Percy was the son of Typhon, his character would go through a major transformation. He'd have to deal with the stigma of being related to one of the most feared monsters in Greek mythology. Initially, he might be ostracized by some of his friends. This would make him more withdrawn, but also more determined to prove himself. He'd start to explore the powers that come with his new heritage, which could be both a curse and a blessing. As he masters these powers, he might gain a new confidence, but also have to constantly battle the urge to use them for darker purposes. His relationships with the gods would also change significantly. The Olympians would be more wary of him, and he'd have to find a way to either earn their trust or defy them.
He'd probably be more aware of his appearance. Instead of just being a scruffy, normal - looking demigod, he might take more care in how he presents himself. He could also be more charming without really trying, which might get him into trouble sometimes as people might misinterpret his intentions.
At first, it could be a relationship based on Lara teaching Harry survival skills. As time goes on, they would develop a deeper bond through shared experiences on their adventures.
Percy would probably become more in tune with emotions. He would be able to sense the feelings of those around him more acutely. This could make him more empathetic but also more vulnerable. His relationships would change significantly. For example, his relationship with his mother, Sally, might take on a new dimension as he discovers more about his divine heritage related to love. And his relationship with Annabeth would be tested as he has to balance his newfound charm and emotional awareness with their existing bond.
His relationship with the Avengers would be different. They might see him as Natasha's legacy. For example, Clint might take on a more protective role towards Peter, seeing him as a part of Natasha that still lives on. And Tony could be more involved in mentoring Peter, not just because of his own interest but also because of his respect for Natasha.
Their relationship could start off rocky. Jacob has always had a bit of a temper, and Rosalie is not one to back down easily. But as they interact more, they might find common ground. Maybe it begins with a grudging respect for each other's loyalty to their own kind. As time passes, they could start to see the good in each other beyond their species differences. For example, Jacob might admire Rosalie's fierce protectiveness of her family, and Rosalie could come to appreciate Jacob's straightforwardness.