You can try searching on fanfiction websites such as Archive of Our Own (AO3). It has a vast collection of fanfics from various fandoms, and there's a good chance you'll find Lincoln x Jordan fanfic there.
One good Lincoln x Jordan fanfic could be 'The Bond of Lincoln and Jordan'. It might focus on their friendship and the adventures they go through together. Maybe they solve mysteries in their school or neighborhood.
One possible theme is friendship. They could show how two different characters from different backgrounds can form a strong bond. For instance, Lincoln is from a large family and might have different values compared to Jordan. But through their interactions, they learn to appreciate each other's uniqueness and build a great friendship.
It could be a story about an adventure they go on together. Maybe they team up to solve a mystery in their neighborhood. For example, they might discover some strange happenings around an old abandoned house and use their unique skills to figure out what's going on.
In 'the loud house lincoln x girl jordan fanfiction', a frequent theme is probably the exploration of their personalities. Writers might focus on how Lincoln's and Jordan's different traits interact and complement each other. Also, the theme of family acceptance might be there. Given that Lincoln has a large family in 'The Loud House', how his family reacts to his relationship with Jordan could be an important part of the story. Sometimes, there could also be a theme of overcoming obstacles, like misunderstandings or external factors that try to keep them apart.
Well, for Lincoln Loud, his sense of family loyalty could be explored. Maybe Girl Jordan comes from a different family situation, and his loyalty to his family makes her see family in a new light. His determination to have some peace and quiet in his large family could also be a factor, and how that contrasts with Girl Jordan's own need for company or solitude.
Well, it depends on the popularity of this particular pairing in the fan community. Some less common pairings may not have a large quantity of fanfiction. However, if there are fans who are really into this pairing, they might have created some interesting stories. You could also check out relevant fan forums to ask if anyone knows of good 'Girl Jordan x Lincoln Loud' dating fanfiction.
There could be many interesting fanfictions about Jordan and Lincoln in the context of Loud House for girls. Maybe it could be a story where Jordan and Lincoln team up to solve a mystery in the Loud House. For example, they might be trying to figure out why strange things are happening around the house, like objects moving on their own or mysterious noises at night.
Adventure might also be a theme. They could embark on exciting adventures together, facing challenges and overcoming obstacles as a team. For example, exploring a mysterious place or solving a puzzling mystery.