In this fanfiction, the main antagonists could be a combination of the existing threats in the Harry Potter universe and new ones brought in by Hawkgirl's world. Voldemort and his Death Eaters are obvious choices. But perhaps there are ancient evils in the Thanagarian world that are awakened by Hawkgirl's actions in the wizarding world. These ancient evils might sense the power of magic in the wizarding world and want to consume it. So they send their minions or possess certain characters in the wizarding world to create chaos and stop Hawkgirl and Harry from growing stronger together.
Voldemort would still be a major antagonist. His goal of ruling the wizarding world and eliminating Harry Potter would remain. However, there could be new antagonists added due to Hawkgirl's presence. For example, some Thanagarian villains might follow Hawkgirl to the wizarding world and see the chaos Voldemort is causing as an opportunity to gain power for themselves. They could try to form an alliance with Voldemort or simply try to take over the wizarding world on their own.
The Death Eaters could still be the main antagonists. They might see Fenrir's new alliance with Harry as a threat. Since they once used Fenrir for their dark deeds, they don't want him to turn good and expose their secrets.
One possible plot could be that Hawkgirl discovers Harry Potter in a dangerous situation in the wizarding world. Maybe he's being hunted by dark forces more intensively than in the original story. Hawkgirl, with her combat skills and unique abilities, decides to take Harry under her wing. She could teach him some of her fighting techniques, which would be a new aspect for Harry as he mainly focuses on magic in the original. This would lead to Harry having an edge in battles against the dark wizards and creatures.
Another possible main antagonist could be Two - Face. His sense of justice, albeit a twisted one, would likely be at odds with Harry's more magical and morally - grey - area - free way of doing things. He might see Harry's use of magic as an unfair advantage and try to bring him down, especially if Harry's actions start to influence the criminal underworld that Two - Face is a part of.
In this fanfiction, Voldemort or his remaining followers could be major antagonists. They wouldn't like the idea of Harry having new allies in Percy and the demigod community. From the Percy Jackson side, the Titans or some of the more malevolent gods might not be happy with the alliance either. They could try to break it up or cause trouble for the two boys, seeing them as a potential force against their own plans.
One possible main antagonist could be Frieza. Imagine if Frieza somehow found his way into the Naruto universe. He would be attracted to the chaos and power struggles there. Goku and Naruto would have to team up to stop him from taking over the Naruto world. Frieza's cold - blooded nature and his desire for power would put him at odds with our heroes. His powerful abilities would be a huge threat to both Naruto and Goku, especially since Naruto is still learning about the new powers Goku is teaching him.
It could be a group of scientists who created the Bioraptor Riddick for some evil purposes. When they find out that Harry has adopted Riddick, they want to take him back to continue their experiments.
The main antagonists could still be Voldemort and his Death Eaters. Just because Harry is being raised by Moriarty doesn't mean Voldemort's threat disappears. In fact, Moriarty might see Voldemort as either a rival or a potential ally, which would add another layer of complexity to the story.
It could be the Death Eaters still. But with Harry being raised by Revy, they might face a much more formidable opponent. Harry would have a different set of skills and a more aggressive approach, so the Death Eaters would have to adapt. Another possibility could be some of the more corrupt wizards in the Ministry of Magic who don't like this new, unpredictable Harry.
It could be the Saiyans. In the Dragon Ball universe where Frieza exists, the Saiyans are often his enemies. Even if Harry is reborn as Frieza, the Saiyans' natural strength and warrior spirit would pose a great threat to him. They might not understand his new - found combination of magic and Frieza's powers and see him as an even greater danger.
Maybe some of the more vengeful gods could be antagonists. For example, if Hera doesn't like Percy's decision to adopt Thalia, she could send various challenges their way. Also, there could be some ancient monsters that are awakened by Thalia's presence, and they would want to destroy her. These monsters could be sent by some minor gods who are jealous of the attention Thalia might get from the major gods.