Well, in this fanfiction, Percy might face challenges in protecting Azula because of her own complex personality. She is often power - hungry and has made many enemies. Percy would have to not only protect her physically but also deal with her political intrigues. He could use his demigod skills like his superhuman speed and strength to keep her safe.
One idea could be that Percy uses his water powers in a unique way to protect Azula. Maybe he creates a water shield around her during battles, which is different from the fire - based defenses she's used to in the Avatar world.
Azula would probably try to use Percy at first. She might see his powers as something she could control or use for her own gain. However, Percy is not one to be easily manipulated. He would resist her attempts, which could lead to some intense verbal sparring between them. As time goes on, they might develop a grudging respect for each other. For example, Percy might admire Azula's strategic mind, and Azula could respect Percy's loyalty to his friends.
In a fanfiction, it could be that there is a prophecy that involves both Percy and Azula. The prophecy states that only by combining the skills and powers from their respective worlds can they save a third, unknown world that is on the brink of destruction. This forces them to work together and overcome their differences as they journey to discover what they need to do to fulfill the prophecy.
Since Percy is a skilled fighter, he could train Azula in different combat techniques. This would not only improve her physical fighting skills but also give her a new perspective on battle strategies. For instance, Percy's use of his environment in combat, like using water from a nearby source, could inspire Azula to be more creative with her fire - bending in different terrains.
Another possibility is that Percy is sent to Hogwarts undercover as a Hufflepuff student to investigate some strange magical activity that might be related to the Titans or other Greek monsters. He has to keep his identity as a demigod a secret while trying to fit in with the Hufflepuff house. He could learn a lot from the Hufflepuff way of life, like their patience and kindness, and in turn, he could teach them some things about courage in the face of danger that's different from what they're used to in the wizarding world.
In an Alaska - based Percy Jackson fanfiction, Percy could be on a quest that leads him to the frozen tundra. He might discover an ancient Greek artifact that has been hidden there for centuries. This artifact could hold the key to preventing a major disaster, like the awakening of an old and powerful enemy. Along the way, he could team up with some local Inuit demigods who have their own unique powers and knowledge of the Alaskan wilderness.
One idea could be that Percy uses his demigod skills in the courtroom. For example, his ability to read Ancient Greek could come in handy when dealing with old legal documents or in cases related to archaeology where Greek inscriptions are involved. He might also use his combat skills in a more metaphorical way, like being a fierce advocate who 'fights' for his clients.
Percy would likely bring his own set of skills and values into the Fire Nation. His loyalty, which is a strong trait among demigods, would be put to the test as he guards Azula. He might also introduce new fighting techniques that could be a combination of his sword - fighting skills and water powers.
One idea could be that Percy, as the lone warrior, has to face a new threat alone. Maybe a powerful and ancient monster that has been awakened and no one else believes in its existence at first. He has to rely on his own skills and the limited resources he has.
One idea could be to write a fanfiction where Percy visits an ancient Greek city that has been forgotten by the modern world. He discovers a hidden power there that could change the fate of the demigods.