The Death Eaters could still be the main antagonists. Even though Harry has this new connection to Lady Magic, the Death Eaters, loyal to Voldemort, would see him as a major threat to their dark plans and would continue to try to kill him.
It could be the other Titans who don't want a half - wizard, half - Titan like Harry to exist. They might see him as a threat to their pure Titan bloodlines or their power structure.
The Death Eaters would be obvious antagonists as they are in the original Harry Potter series. But also, there could be a group of shadowy figures from Nightwing's world who oppose the idea of a wizard - Nightwing hybrid. They see Harry as an abomination and try to eliminate him before he can fully realize his powers.
There could also be some characters from the Doctor's universe who oppose the idea of a half - wizard, half - Time Lord. They might come to the wizarding world to try and stop Harry from using his combined powers, fearing it could disrupt the balance between the two universes.
It could be some dark wizards who are threatened by Harry's unique heritage. They might see him as a potential threat to their power and plans. Maybe they want to use his connection to Spike for their own evil purposes and when Harry refuses, they become his enemies.
The main antagonists could still be the Death Eaters. Since they are the traditional enemies in the Harry Potter universe. They would see Harry, even as the son of Ziva David, as a threat to their dark plans. They might target him not only because of his connection to Harry Potter but also because they fear the unknown elements that Ziva's heritage could bring into the fight against them.
Voldemort could still be a main antagonist. His dark magic and thirst for power would put him at odds with Harry, especially if he sees Harry's connection to Black Widow as a threat. Another could be some of the more traditionalist wizards who don't trust Harry because of his strange heritage.
It could be another magical creature or group that is jealous of the power that the vixen holds and by extension, Harry as her adopted son. Maybe there is a group of dark wizards who want to harness the vixen's magic through Harry, and they become the antagonists as they try to capture him.
The Ministry of Magic could be the main antagonists. Since Harry is the abandoned son of Artemis, they might see him as a threat to the stability of the wizarding world. They could try to suppress his powers and keep his identity a secret.
The Death Eaters could still be the main antagonists. If Harry starts learning soul magic, they might see it as a threat and try to stop him.
The Ministry of Magic could also be antagonists. They are often very strict about magic use and might not approve of Harry's exploration of wandless magic. They could try to stop him, fearing that it would disrupt the established order of magic that is mostly wand - based. The Ministry officials might see Harry as a troublemaker and try to put him under surveillance or even arrest him if they think he's getting too powerful in wandless magic.