Well, in such a fanfiction, the plot might involve Hecate seeing Harry's potential not just as a wizard but as someone with a special destiny related to the magical world at large. She adopts him and begins to train him in her own brand of magic. This could lead to conflicts with the Ministry of Magic as they might see Harry's new powers as a threat. Also, Harry could use his newfound knowledge to better understand the Horcruxes and find a way to defeat Voldemort more quickly.
His character could develop in several ways. Firstly, he would gain a sense of self - worth as Hecate chose him. He would become more in tune with his emotions as Hecate might teach him to use his feelings in magic. Also, he would be more open - minded, exploring different forms of magic that could change his view of the wizarding world and his place in it. He may become more of a leader, using his new knowledge to guide others in the fight against evil.
To develop Hecate, we could show her having a personal connection to some of the dark magic in the Harry Potter universe. She could have been involved in creating certain dark artifacts in the past, and now she sees Harry as a way to correct her past mistakes. This would give her a more nuanced and complex character.
I'm not entirely sure as there could be many interpretations. It might be a fanfiction where the main character, perhaps Harry Potter, becomes a champion related to Hecate in some way. Hecate is often associated with magic in Greek mythology, so it could involve Harry Potter getting involved in a special kind of magic related to her within the fan - created story.
The 'Harry Potter Demigod of Hecate' fanfiction might focus on how Harry's demigod status of Hecate changes his relationship with his friends at Hogwarts. For example, Hermione might be intrigued by the new magical aspects this brings and Ron could be a bit jealous or in awe. It could also explore how the wizarding world reacts to a demigod in their midst. They might be scared, or they might see it as an advantage in the fight against the dark forces.
Since it's a Harry Potter - based fanfiction, Harry Potter himself is likely to be one of the main characters. There may also be his friends like Hermione and Ron. And if it involves Hecate, perhaps there could be some characters from Greek mythology associated with her as well.
The plot could involve Harry growing up in a world where the boundaries between Greek and wizarding magic are blurred. Hecate could introduce him to magical creatures from Greek mythology. He might also have to face different kinds of dark forces that are more related to the ancient evils that Hecate has been fighting for centuries. This would make Harry a very different kind of wizard, one with a more diverse magical knowledge and power base.
In the fanfiction, it could start with Harry feeling a strange pull towards an ancient magic site. There he meets Hecate. Hecate is intrigued by Harry's unique magic, which has survived so many dark encounters. They begin to collaborate on magical research, and during this process, their relationship deepens into love. Their marriage unites the Hogwarts magic that Harry grew up with and the primordial magic of Hecate. This causes a stir in the wizarding world as many are both excited and fearful of the new power dynamics that will surely follow.
One common theme is the expansion of magic. Since Hecate is a goddess associated with magic, fanfictions often explore new types of magic that Harry could learn from her. Another theme is the idea of guidance. Hecate usually takes on a role of guiding Harry in these stories, whether it's in his magical studies or in dealing with the challenges he faces at Hogwarts and beyond.
There's a fanfiction called 'Harry Potter and the Realm of Hecate'. In this story, Harry stumbles upon a hidden realm connected to Hecate. It has great descriptions of the magical world and how Harry interacts with the powers related to Hecate. It also shows how his relationship with his friends at Hogwarts is affected by this new discovery. Overall, it's a really engaging read.