The addition of an original character who is a psychiatrist adds a new dimension. It can bring in-depth psychological analysis to the stories. For example, the psychiatrist OC can help the SVU team understand the motives of criminals from a psychological perspective, which makes the plot more complex and engaging.
Well, you can try looking on fanfiction.net. There are often a lot of fan - created stories in the 'Law and Order SVU' section, and you might find some that feature psychiatrist original characters. Another option is Archive of Our Own (AO3), which has a large and diverse collection of fanfiction, and you can search specifically for 'Law and Order SVU' and filter for stories with psychiatrist OCs.
One common theme is redemption. Often, Dickie's character might be on a path to redeem himself through his interactions with the OC. For example, he could be trying to make up for past mistakes in the SVU world.
One idea could be that OC has been secretly dating a woman who works in the same precinct but in a different department. She could be a forensic scientist. They meet in the coffee room one day, accidentally spill coffee on each other, and that's how it starts. They keep their relationship under wraps because they don't want office gossip to interfere with their jobs.
There's also 'Dickie and the Mysterious OC' where the plot is centered around Dickie encountering an OC who has a mysterious past. The fanfic is full of suspense as they try to solve a case together while also dealing with their growing connection. It's really engaging as it combines the elements of the show with new and exciting character dynamics.
There are quite a few. You can start by looking on popular fanfic websites like Archive of Our Own. Some might focus on the relationship dynamics within the story, exploring how Dodds' OC wife fits into the 'Law and Order SVU' universe. It really depends on what kind of story you're into, whether it's more about the family aspect or how she might interact with the cases the team is handling.
Another way is through external pressures. Say, the SVU team starts to suspect that OC is hiding something. They start to investigate, and as they get closer to the truth, OC and his girlfriend have to be more careful. This could lead to some really intense moments where they almost get caught, and they have to think on their feet to keep their relationship a secret.