One great fem Percy Jackson and the Avengers fanfiction is 'Percy in the Avengers Tower'. It has an interesting plot where fem Percy is brought into the Avengers' world and has to deal with both her demigod powers and the new superhero environment. The interactions between her and the Avengers are really well - written.
The 'powerful outsider' trope is also popular. Fem Percy is a powerful demigod, and when she enters the Avengers' world, she often has to prove herself to the team. This leads to some great action scenes and character development as she shows what she can do. It's like she's an unknown variable that the Avengers have to figure out how to work with.
Percy has his speed and agility. In the fanfiction, he might be able to use his demigod reflexes to dodge all of the Avengers' attacks. He could then quickly move in for a counter - attack. Also, his sword, Riptide, is a powerful weapon. It can cut through almost anything. He could use it to cut through the Avengers' weapons or their defenses if he gets close enough.
Well, initially, the Avengers would be quite skeptical. I mean, they deal with high - tech and super - soldier stuff. But once Percy shows what he can do, like summoning a giant sea monster to help in a battle, they'd start to see the value. Iron Man would likely try to find a scientific explanation for Percy's powers and might even try to replicate them in some way. Captain America would appreciate Percy's courage and how he uses his powers for good, just like he does with his own abilities.
One way could be to have Percy Jackson's powers of being a demigod interact with the superpowers of the Avengers. For example, his ability to control water could be used in a joint mission with Thor's lightning powers. Maybe they are facing a common enemy that can only be defeated by combining their unique skills.
A possible fanfiction could involve a crossover where some of the Avengers are sent to Camp Half - Blood. Imagine Tony Stark trying to figure out how the magic at the camp works while also being highly amused by the whole concept of demigods. Steve Rogers could bond with some of the more heroic demigods over their shared sense of duty. Meanwhile, Percy and his friends have to keep an eye on the Avengers to make sure they don't accidentally disrupt the delicate balance of the camp. And then, they all have to face a threat that targets both the Avengers and the demigods, like a group of villains who want to steal the powers of both.
There are so many fanfictions out there that it's hard to determine if there's a popular one with this specific plot. The Percy Jackson and Avengers fanfiction communities are quite large, but this concept goes against the general heroic portrayals in both universes. It's less likely to gain widespread popularity, but it doesn't mean there aren't some well - written ones out there that a small group of fans might really like.
Another option could be Black Widow. She's very good at adapting to new situations and using her skills in different ways. For Percy, who is coming from a very different world, she could teach him how to be stealthy and use his powers in a more covert way. She could also help him with understanding the political side of the Avengers, like dealing with government agencies and such, which Percy may not be used to in his world of demigods.
Her character development could be quite complex. First, she'd have to adapt to the rules and values of the hunt. This might mean suppressing some of her more impulsive tendencies that Percy is known for. As she spends more time with the other hunters, she'll likely pick up new skills and ways of thinking. For example, she could learn new tracking methods or ways to communicate without words. Her view of the world may also change as she experiences the hunt. She may come to see the importance of the balance between the mortal world and the world of the gods in a new light, which could shape her actions and decisions in the future.
She could fit in by being a wildcard. Her abilities are likely not something the Avengers are used to. So, she could be the one to come up with unexpected solutions during missions. For instance, if they're trapped in a place, she might use her powers in a creative way to get them out.