In this fanfiction, perhaps Harry would inherit some of Hestia's qualities. Hestia is the goddess of the hearth, so Harry might have a strong sense of home and family. He could be a more nurturing figure, different from his canon self. His magic might also be influenced by Hestia's domain, like having an affinity for protective spells related to the home.
Well, if Harry was the son of Hestia in fanfiction, it would completely change his backstory. He would no longer be related to James and Lily Potter. His connection to the wizarding world might be through different means. Maybe he'd be discovered by the wizarding community in a more mysterious way, perhaps while protecting a magical hearth or something similar. And his relationships with other characters would shift too. For example, his friendship with Ron and Hermione might start from a different place, since his origin story is altered.
Well, it could be a story full of magical and mythological crossovers. Harry might have powers from both the wizarding world and his newfound heritage as the son of Zeus. He could control lightning like Zeus, adding a new dimension to his battles against Voldemort. Maybe he would also have some sort of connection to the Greek gods' realm, and they could interfere in the wizarding war in unexpected ways.
One possibility could be that Harry has some extraordinary powers inherited from Shiva. Maybe he can control certain elements like fire or water in a more divine way. For example, his Patronus could take on a form related to Shiva's symbols, like a Nandi (Shiva's bull).
It could be really interesting. Harry Potter is from the wizarding world of Hogwarts, and Athena is from Greek mythology. In this fanfiction, perhaps Harry would inherit some of Athena's wisdom. He might use it to solve the mysteries in the wizarding world more cleverly, like he could figure out Voldemort's plans faster. Also, his connection to Athena could give him an edge in battles, maybe with some sort of strategic magic.
The plot could involve Harry learning about his true mother. Hestia, being a rather different kind of mother figure compared to Lily Potter. His relationship with other characters might change as a result. For example, he might have a different connection to the Gryffindor common room which is associated with the idea of home, since Hestia has ties to that concept. He could also have some new abilities or a different magical aura that sets him apart from the original Harry Potter story.
One possibility could be a story of internal conflict for Harry. He might struggle with the dark heritage from Tom Riddle while trying to uphold the values of the wizarding world he has grown to love. He could constantly battle his own darker instincts that come from being Voldemort's (Tom Riddle) son. For example, he might have an in - built talent for Parseltongue that he has to learn to control and use for good instead of evil.
One possibility is that Harry would grow up with a very different set of skills. Artemis is associated with the hunt and nature. So Harry might be an excellent tracker and have a deep connection with animals. He could learn archery from a young age and be more in tune with the wild. His magical abilities might also be influenced in a unique way, perhaps with spells related to nature being more accessible to him.
Obviously, Harry Potter himself is a main character. Since he is now the son of Hestia, his character development would be a central focus. He would be dealing with the implications of this new identity.
In some fanfictions, there could be a plot where Harry, as the son of Hestia, has to face opposition from traditional wizarding families who don't accept this new 'parentage'. This would lead to him having to prove himself not only as a powerful wizard but also as a worthy heir to Hestia's legacy. He might have to use his wits and newfound powers to overcome these prejudices.
In this fanfiction, Harry could be on a quest to protect dragons. Given his kind heart, he might learn about the cruel treatment of dragons in some parts of the wizarding world, like in dragon - breeding for the Triwizard Tournament. So he decides to take a stand and try to ensure their well - being. This could lead to him making new friends or enemies in the process, and exploring new parts of the wizarding world that are related to dragons.
Yes, there are likely some fanfictions out there with this concept. You can start by checking popular fanfiction websites like Fanfiction.net or Archive of Our Own. Just search for 'Harry is the son of Hestia' in their search bars.