Well, it could be really interesting. Harry would grow up with Wonder Woman's strong sense of justice and courage. He might learn combat skills from her at a very young age. And instead of using a wand all the time, he could combine magic with physical combat skills. Also, his view of the wizarding world might be different as he's influenced by an Amazonian upbringing.
The magical and superhero elements could blend in strange and exciting ways. For example, Wonder Woman's lasso of truth could have an interaction with the magic in the Harry Potter universe. It could be used to force dark wizards to tell the truth, or it could have some sort of magical property when combined with spells. Also, Harry's relationships with other characters would change. Hermione and Ron might be in awe of his new powers and his connection to a superhero, and they could all go on adventures that are not just about defeating Voldemort but also about protecting the world in a more global sense, including the Muggle world which Wonder Woman is also committed to protecting.
The characters in Harry Potter might be quite shocked at first. Hermione would probably be very curious about Wonder Woman's world and powers. Ron might be a bit jealous at first but would come around. In the DC side, Wonder Woman's friends like Steve Trevor would be protective at first. But as they see how happy she is with Harry, they would accept him. The wizarding community would have to adjust to having a superhero as part of their world through marriage, and the superheroes would have to accept a wizard into their midst.
Well, it could be really interesting. Maybe he would be trained in a more Amazon - like way. Since Wonder Woman comes from the Amazons, he could learn combat skills that are different from what he learned at Hogwarts. Also, his view of magic could be influenced. Instead of just using magic for typical wizarding things, he might use it more to help the greater good, just like how Wonder Woman uses her powers.
Well, growing up with Wonder Woman, Harry would likely be more in tune with his emotions as she values emotional strength. This could make his magic more responsive to his feelings. So, when he's angry, his spells might be more forceful, and when he's calm, his magic could be more precise. Also, he might learn to use magic in a more preventative way, like Wonder Woman uses her powers to prevent harm rather than just react to it.
One common theme is the clash and combination of different power systems. The magic in Harry Potter and the superpowers in Wonder Woman's world are quite different, so exploring how they interact is popular. For example, how would Wonder Woman's flight compare to a broomstick in the wizarding world? Another theme is the cultural exchange. Hogwarts has its own set of values and traditions, and the Amazons in Wonder Woman also have their unique culture.
One challenge is merging the two very different universes. The magic system in Harry Potter is complex and based on spells and potions, while Wonder Woman's world has a different kind of power, like her superhuman strength and the technology of the Amazons. Another challenge is staying true to the characters. Harry is a young wizard growing up in a specific magical society, and Wonder Woman is a powerful Amazon with her own set of values. Writers need to make sure they don't change the essence of these characters too much when bringing them together.
In a 'Harry Potter adopted by Wonder Woman' fanfiction, it could be that the magical world and Wonder Woman's world are somehow connected. Harry is in danger in the wizarding world, and Wonder Woman steps in to protect him. She adopts him, and as he grows, he uses his knowledge of magic to help Wonder Woman in her battles. For example, he could use spells to enhance her weapons or create magical barriers during combat.
A possible plot could be that Harry discovers his true parentage later in life. Maybe he starts having strange dreams or visions that lead him to uncover the truth. Once he realizes he's the son of Wonder Woman, he decides to seek her out. Along the way, he has to face some of the dark forces in the wizarding world that don't want him to gain more power. They try to stop him from reaching Wonder Woman, but with the help of his friends, he manages to overcome these obstacles.