The plot could involve her on a quest. Maybe she's searching for a way to break the cycle of Kronos' evil. She might team up with Percy Jackson and other characters. They could face various monsters and challenges along the way. And she could be constantly battling her own inner demons related to her father's nature, like a tendency towards power - hunger that she has to overcome.
Well, it could be a story full of internal conflict. As the daughter of Kronos, she might struggle with her dark heritage. Maybe she tries to break free from the expectations of her father's evil legacy. She could befriend the demigods from Camp Half - Blood, but they'd be initially suspicious of her. She'd have to prove herself over and over, perhaps using her unique powers that come from Kronos in a positive way to save the day.
One interesting fanfiction could be where Female Percy struggles with her identity as Kronos' daughter. She might have to battle against the dark nature she inherits while trying to uphold the values she learned from her friends at Camp Half - Blood. For example, she could be in a situation where she has to choose between following Kronos' old plans for domination or forging her own path of peace.
She could potentially have the power of regeneration. Kronos was a powerful being, and if she inherits some of that essence, she might be able to heal from wounds faster than normal demigods. This would make her a very tough opponent in combat as she could keep coming back even after taking serious hits.
In fanfiction, Kronos's role is not just limited to being a villain. Sometimes, he can be a catalyst for character development among the demigods. His actions force the heroes to become stronger, both physically and mentally. For instance, his threat might make Percy Jackson more determined to master his powers. Also, Kronos can be used to introduce new plot elements, like a new weapon or a magical item that has the power to stop him.
One great Kronos fanfiction could be about his backstory before he turned evil. Maybe it explores his relationship with the other Titans and what led him to start the war against the Olympians.
One possible plot twist could be that she discovers she's not actually Kronos' daughter. Maybe it was all a big lie or a spell cast by an enemy to make her think she was, and when she finds out, she has to reevaluate her entire identity and purpose. Another twist could be that Kronos was actually good all along, and his actions were misinterpreted. So, she has to fight against the demigods who are trying to stop what they think is an evil resurrection.
Another theme is redemption. Many fanfictions explore the idea of Female Percy trying to atone for Kronos' past wrongs. She might be on a mission to prove that just because she's his daughter doesn't mean she'll follow in his footsteps. This often involves her making sacrifices and difficult moral choices.
Yes, there are likely fanfictions out there with this concept. Fanfiction writers often explore alternative storylines and relationships. However, it goes against the canon as in the original 'Percy Jackson' series, Percy is the son of Poseidon. But in the world of fanfiction, anything is possible.
In some fanfiction, Percy Jackson might be depicted as a champion of Kronos, but this goes against his character in the original series. In Rick Riordan's official books, Percy is a hero who stands against Kronos and his evil plans.