The 'Power Struggle' trope is also common. Percy has her own set of powers and abilities, and Apollo, being a god, has his. In a fanfiction, they might have to navigate how their powers interact with each other. For example, Percy's water - related powers might clash or complement Apollo's sun - related powers, creating interesting plot points.
One popular trope is the 'Forbidden Love' trope. Since Percy and Apollo come from different mythological backgrounds in the original stories, a relationship between them can be seen as something that goes against the norms. It adds an element of drama and tension to the story.
The 'hurt/comfort' trope is quite common. For example, Percy gets injured in a battle, and Reyna is the one to take care of him, which deepens their bond. There's also the 'time - travel' trope. Writers might send Percy back in time to meet a younger Reyna, or vice versa, and this changes the course of their relationship in an unexpected way. And then there's the 'secret relationship' trope, where they have to keep their feelings for each other hidden from others in the camp.
Many fanfictions explore different aspects of the Percy Jackson universe by bringing these two characters together. It allows for new storylines that might not be in the original books. For example, they could be on a quest together where Apollo's knowledge of the gods and Percy's combat skills complement each other. Also, the fans are always eager to see how these two from different 'statuses' (a god and a demigod) interact and form a bond, which makes the fanfictions so appealing.
A common trope is the 'fish - out - of - water' situation. The female Percy Jackson is suddenly in the world of the Avengers, which is very different from her demigod world. Another popular one is the 'power - clash' trope, where her demigod powers interact in unexpected ways with the superpowers of the Avengers.
The 'Power - up' trope is also quite common. Fans like to write about Percy getting new powers or strengthening his existing ones. It gives a sense of growth and development. There's also the 'Alternate Universe' trope, where the story is set in a completely different world from the original Percy Jackson universe, like a modern - day high school setting but with the demigod elements.
Well, a popular trope is the 'soulmate' idea in Percy Annabeth Lemon fanfiction. Since they are often seen as a powerful couple in the original stories, in fanfiction this can be enhanced with 'lemon' elements as they explore their deep connection on a more physical level. Another trope is the 'dangerous situation' trope. When they are in a life - threatening situation and then find comfort and passion in each other afterwards, leading to 'lemon' - like scenes. And the 'power couple' trope where their combined powers and status as a couple are shown through 'lemon' - ish moments of them being together in a strong and passionate way.
The 'hurt/comfort' trope is also common. Maybe Percy gets injured during a battle and Jason has to take care of him. This trope allows for a lot of emotional and physical closeness between the two characters, which can develop their relationship further. It can also show a more vulnerable side of their personalities.
Another common trope is the 'alternate universe' or AU. This could be something like a modern - day retelling of the stories in a different setting, or even a world where the characters have different powers or relationships. In Percy Jackson fanfiction, you might see an AU where Percy is a regular kid without knowing his demigod heritage at first. In Shadowhunters fanfiction, it could be an AU where the Clave has different rules.
One popular trope is the 'found family'. Given their complex relationships and backgrounds, many fanfictions explore how Percy, Thalia and Nico form a sort of family unit, supporting and protecting each other through various challenges.
Another trope could be the 'reunion' trope. If they are separated for some reason, like Thalia being turned into a tree or Percy going on a long solo quest, their reunion can be a very emotional and romantic moment in the fanfiction. It allows for a lot of pent - up feelings to be expressed.
You can try looking on fanfiction websites like Archive of Our Own (AO3). There are often specific tags for characters like 'Female Percy' and 'Apollo' which can help you narrow down the search. Just type in the relevant tags in the search bar and browse through the results.