For one, it adds a new layer of drama. Reid is such a beloved character, and seeing him in a vulnerable, tortured state makes readers feel a strong sense of empathy. It also allows for a deeper exploration of his character.
The idea of Reid being tortured creates a lot of suspense. Readers are eager to know how he will survive, how his brilliant mind will deal with the situation. It also gives a chance to show the other characters' reactions, like how the BAU team will come to his rescue. In many of these fanfictions, the details of the torture and Reid's internal struggle make it a very engaging read. For example, we might see Reid trying to use his knowledge to outwit his captors even while in pain, which is really fascinating.
One popular fanfiction might be 'The Darkest Hour for Reid'. In it, Reid endures both physical and psychological torture, which really tests his character. It shows his resilience and the team's desperate attempts to rescue him.
In many Reid - gets - shot fanfictions, it often focuses on the team's reaction. His friends, like Morgan and Garcia, would be extremely worried. They might rush him to the hospital while trying to keep their emotions in check. The angst and worry would be palpable as they wait for news on his condition.
One scenario could be that Reid gets hurt during a chase. Maybe he trips and falls while running after an unsub, and sprains his ankle. This would slow him down and make him vulnerable.
One great fanfiction idea could be exploring Baby Reid's early signs of his genius. Maybe in the story, even as a baby, he shows an uncanny ability to notice patterns in the simplest of things around him, like the way the leaves fall from the trees in a particular order. It could also focus on how his family first reacted to his extraordinary intelligence, whether they were in awe or a bit scared at first.
You can try fanfiction websites like Archive of Our Own (AO3). There are likely many stories there about Reid getting hurt in Criminal Minds. Just use the search function and type in relevant keywords like 'Criminal Minds Reid hurt'.
It could be that Reid has unknowingly crossed paths with a criminal organization. They kidnap him to extract information about the FBI's investigations into their activities. Reid has to endure torture and interrogation, but he also tries to analyze his captors' behavior to find a way to escape.
The appeal might be the chance to explore the characters more deeply. In the show, sometimes there are limits to how much we can learn about a character's backstory or their inner thoughts. Fanfiction fills those gaps.
One possible direction for the fanfic could be a sort of 'what - if' scenario. For example, what if Reid's injury had long - term consequences? It could change his role in the BAU, his relationships, and even his approach to solving cases.
One great Reid kidnapped fanfiction is 'The Abduction of Reid' on FanFiction.net. It has an interesting plot where Reid is kidnapped by an unsub with a personal vendetta. The author does a great job of building suspense and keeping the characters in - character.
One popular fanfic idea could be Reid getting injured during a chase scene. Maybe he sprains his ankle while running after an unsub, and the team has to adjust their plans accordingly. His injury might slow them down a bit, but also show how the team rallies around him.