One idea could be Percy using his water powers in a unique way against Medusa. For example, he could create a water shield that reflects Medusa's petrifying gaze back at her in a fanfiction. Another could be a scenario where Medusa, instead of being an enemy, teams up with Percy to face a greater threat.
One possible storyline could be Percy having to face Medusa in a new way that doesn't involve just slaying her. Maybe he discovers that Medusa has a side to her that was misunderstood all along. For example, she was cursed not out of pure evil but due to the jealousy of the gods. Percy could then try to find a way to break her curse, leading to an unlikely alliance between them.
One idea could be Percy having to face Medusa in a new way that challenges his usual methods. Maybe he gets trapped in a dream where Medusa has the upper hand and he has to use his wits more than his sword. Another could be a scenario where Medusa is somehow redeemed and teams up with Percy against a greater evil. For example, an ancient monster that threatens both the mortal and mythological worlds.
First, you need to really understand the characters. Know Percy's traits like his loyalty and quick - thinking, and Medusa's backstory and her powers. Then, create an interesting plot. It could start with a strange encounter between them. Also, don't forget to add details to the setting, like describing Medusa's lair vividly.
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.
To write their character dynamics well, first understand their base personalities. Percy is brave, impulsive, and has a strong sense of justice. Medusa, on the other hand, is often seen as a monster but has a tragic backstory. Start by having Percy initially be cautious and on guard around Medusa due to her reputation. Then, as the story progresses, show Medusa's more complex side. Maybe she shows Percy kindness in an unexpected way, which makes Percy question his assumptions. This creates a dynamic where they are both learning about each other.
It could be a demigod who has been corrupted by the power of Medusa's severed head. He uses the petrifying power for his own evil gains, like trying to turn all the other demigods into stone so he can rule the demigod world alone.
I'm not sure if there's a specific existing fanfiction exactly like this. However, it would be a very interesting concept. Naruto's ninja skills combined with the mythological elements of being the son of Medusa and in the world of Percy Jackson could lead to some really unique adventures. Maybe Naruto could use his shadow clone jutsu to outwit the monsters from Percy Jackson's world, while also having some sort of snake - related powers from his Medusa heritage.
Sure, there are Percy Jackson and Medusa love fanfictions. Writers in the fanfiction community like to explore unusual pairings. They might rewrite Medusa's character to make her more sympathetic or create a whole new backstory for their relationship. But it's not a common or mainstream concept within the overall Percy Jackson fandom.
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.