The Medusa daughter's character could be developed in a multi - faceted way. At first, she might be full of self - doubt and anger due to how she's been treated. But as she spends time with Percy Jackson and gets involved in his world of demigod adventures, she could transform. She could learn about courage from Percy and start to stand up for herself. Her powers could also evolve, not just in strength but in how she uses them. For example, she could learn to control the extent of the petrification, which would show her growth as a character.
You can develop Medusa by exploring her backstory more. Maybe show how she was before she was cursed, her hopes and dreams. For example, she could have been a beautiful and kind - hearted maiden once. Also, give her some complex emotions like regret for the people she has turned to stone.
Well, it could be about the daughter of Medusa having some sort of adventure with Percy Jackson. Maybe she's trying to break free from the stigma of her mother's deeds. She could team up with Percy to fight a common enemy, like a new monster that has emerged from the Underworld. It would be interesting to see how Percy reacts to her, considering her heritage.
Her character could be developed by showing her internal struggle. She was born of Gaea, so she has this loyalty to her mother, but she also has a sense of right and wrong. This conflict could be explored through her actions and decisions. For example, when she has to choose between following Gaea's order to destroy a village or saving the villagers.
You can start by giving her a distinct personality. Maybe she's shy because she's always been feared for her father's sake. Then, gradually show her growing confidence as she discovers her own strengths. For example, if she has the power to raise small skeletons as minions, at first she's scared of it, but later she learns to use it for good. Also, explore her relationships with other characters. Her friendship with Percy could be based on mutual understanding of being different among the demigods.
In fanfiction, their relationship might develop through a shared goal. Say there's a powerful magic item that both Percy and Medusa want. They have to work together to get it. Along the way, Percy learns about Medusa's past and the reasons she became what she is. Medusa, in turn, sees Percy's courage and determination, and they start to respect each other. This mutual respect could then turn into an unlikely friendship or at least a begrudging alliance.
Percy could be developed by showing his confusion at first. He's used to being a son of Poseidon, so being a son of Khione throws him off. He might struggle with learning new powers and how to use them effectively. For example, he accidentally freezes his own feet when he tries to use ice powers for the first time.
In a fanfic, perhaps Percy and his friends accidentally stumble upon Medusa's lair while on a quest. But instead of immediately attacking, Medusa offers them a deal. She says she will give them a valuable clue to complete their quest if they help her get revenge on one of the minor gods who wronged her in the past. Percy and his friends then have to decide whether to trust Medusa or not.
Well, in most Percy Jackson fanfics, there's no canon relation between Harry (from the Harry Potter universe which is often cross - over in fanfics) and Medusa. But if there is such a relation in a particular fanfic, it could be something like Harry is on a quest that involves Medusa's lair and through some magical or fated connection, he is related in the sense that he has to face the consequences of her actions or her presence in the magical world. Maybe he has to break a curse she placed on someone, which then makes them related in the context of the story.
One way to develop Percy is through his interactions with other characters. He could have confrontations with demigods who are suspicious of him. These interactions can force him to defend his existence and his right to be at Camp Half - Blood. At the same time, he could also have positive interactions with those who are more open - minded. This will show his ability to handle different types of relationships and grow as a character.
She could be portrayed as a protector. Maybe she lives in a dangerous part of the world where monsters roam freely. And she uses her power to turn those monsters into stone, protecting the innocent people who live nearby. Percy could then discover this side of her during his adventures.