A theme could be the exploration of their vulnerability. Usually, they are strong characters, but when hurt, we see a different side of them. This can also lead to themes of self - discovery. Maybe they realize things about themselves during their recovery that they hadn't before. Also, the theme of teamwork within the precinct is common as their colleagues come together to support them.
One possible plotline could be that they are on a dangerous undercover operation. Maybe they get caught by the criminals they are trying to take down. The criminals could then physically harm them to try and get information. Another plotline could be that they are in a car accident while chasing a suspect. This would lead to them being injured and having to deal with the physical and emotional aftermath while still trying to solve the case.
Another theme could be psychological trauma. Given the nature of her work, she could experience things that shake her to the core. In the fanfiction, it might explore how she tries to heal from such trauma, perhaps with the support of her friends or colleagues in the precinct. Her struggle to maintain her composure and strength in the face of such internal battles is often a key aspect of these stories.
One common theme is her relationships. This could be her platonic relationships with the other members of the SVU squad, like Fin or Rollins. Another aspect is her romantic relationships, which fans often explore in fanfiction.
A common theme is family. Since Olivia Benson has a strong character, her relationship with her daughter often forms the core of the story. It could be about how she imparts her values to her daughter.
Another theme is the integration of her work and personal life. Her job at SVU is such a huge part of her identity. So in fanfiction about her marriage, there are often scenes where she has to balance her duties as a detective with her new role as a wife. This can lead to some interesting conflicts and resolutions.
Another place to look is FanFiction.net. There are many fans who post their works there. However, the quality can vary, so you might need to do some sifting through the results to find the really good 'olivia and amanda hurt fanfiction' pieces.
Overcoming obstacles together is also a typical theme. Whether it's problems in their careers or personal issues, Olivia and Amanda in these fanfictions usually work as a team to get through tough times. This shows the strength of their relationship and makes for an inspiring read.
One common theme is her resilience. Fanfics often explore how she bounces back from difficult cases or personal hardships. For example, in many stories, she faces some sort of betrayal in the department but still manages to keep her head high.
One common theme is friendship. Since they work together, many fanfics explore how they become close friends and rely on each other. Another theme is trust. Given their line of work, showing how they trust each other completely in dangerous situations.
One great 'olivia and amanda hurt fanfiction' could be about them getting into an accident during a mission and having to rely on each other to heal. Maybe they're in a car crash and are stranded in a remote area. They have to deal with their physical pain as well as the emotional trauma of the situation together.