New and emerging evil forces in the mythological world could be the antagonists. Maybe a new breed of monsters is born that is specifically attracted to the power of the baby. These monsters could be constantly on the prowl, trying to get to the baby, and Percy and Annabeth have to fend them off while also taking care of their new - born.
The Titans could be antagonists. Even though they have been defeated before, some of them might hold a grudge against Percy and Annabeth and see their baby as a new target for revenge. They could try to kidnap the baby to use it as a bargaining chip or to corrupt it to their side.
The main antagonists could be other pirate crews. There might be a particularly ruthless pirate captain who wants to take over Percy and Annabeth's ship and all the treasures they might be after. This captain could be jealous of Percy's powers and see him as a threat.
The old enemies of Percy and Annabeth like the Titans or some of the more vengeful monsters could be the main antagonists. They might see the unborn child as a threat or an opportunity to get back at Percy and Annabeth.
One possible plot could be Percy and Annabeth adjusting to life as new parents. They might face challenges like protecting their baby from mythological threats. For example, they have to keep the baby safe from monsters who might target the child because of its parents' heroic status.
It could be an old enemy from Greek mythology that has been resurrected. For example, a powerful Titan who has a vendetta against the demigods, especially Percy and Annabeth.
The other gods who oppose the union of a mortal (or demigod in Percy's case) and a goddess could be antagonists. They might see the baby as an abomination or a threat to the order of the divine world. For example, some of the more traditional and strict gods could try to harm the baby or separate Percy and Hestia.
There might be some new characters introduced in the fanfiction who have different ideals or motives that clash with Annabeth's. These new characters could be the antagonists as they oppose Annabeth, and Percy has to step in. For example, if they think Annabeth's way of handling a certain quest is wrong and Percy believes in her, he'll fight against their ideas.
Often, it could be old enemies like the Titans. In fanfiction, they might return in new and more devious ways. For example, Kronos could have a new plan to break Percy and Annabeth apart before trying to take over the world again.
The relationship could start with Percy and Annabeth being overprotective parents. Percy might be constantly worried about the baby's safety near water, while Annabeth would focus on teaching the baby knowledge and wisdom. As the baby grows, they could start to have little adventures together. For example, the baby could go on a mini - quest with them around Camp Half - Blood, which would strengthen their bond.
The teachers could be antagonists. Since Percy is a rebel, they would be the ones trying to enforce the rules that he's breaking. They might give him detention, assign extra homework as punishment, or constantly be on his case.
Well, it could be a group of vampires or werewolves who see the baby as a threat to their existence. They might believe that the baby will grow up to be a powerful force against them, so they try to eliminate the baby.