Well, in fanfiction, there could be many different scenarios for Sookie being pregnant. It might be that she got pregnant by a character like Bill or Eric. Maybe it was an unexpected event that changes the whole dynamic of the relationships in the True Blood universe. The pregnancy could also be a plot device to explore new aspects of Sookie's character, like her strength and vulnerability as she prepares to become a mother.
In fanfiction, the relationship between Eric and young Sookie can be very interesting. Some fanfictions might focus on how they first meet in a different way than in the original series. Maybe they meet in a more secluded place, and there's an instant spark that's different from the show's dynamic.
In fanfics where Sookie is pregnant, one possibility is that she could face challenges from the supernatural community. Since she has always been in the middle of various supernatural events in True Blood, her pregnancy might attract unwanted attention. For example, some vampires might see her unborn child as a potential threat or a valuable asset. Another aspect could be her relationship with the father. If it's a vampire, like Bill or Eric, there would be complications regarding the nature of the baby - would it be part - vampire? How would they protect it from vampire politics? Also, Sookie's friends like Tara and Lafayette would surely play important roles in supporting her through the pregnancy, but they too might face danger because of their association with her.
It could be that the name Sookie had some symbolic or emotional connection for Shed. Or perhaps it was inspired by a person or event in Shed's life. There's no definite answer, it's up to the author's imagination.
One common theme is the exploration of forbidden love. Since their relationship in the show had its own set of challenges, fanfiction often delves deeper into what makes their love seem so impossible at times. Another theme is the power dynamic between them. Eric is an old and powerful vampire, while Sookie is a young, telepathic human, and fanfictions play with how this affects their relationship.
It can greatly change the relationships. For instance, if Bill is the father, it might rekindle some old feelings or create new tensions. If Eric is the father, it could lead to a power struggle between him and others who might want to use the baby for their own gains.
Their relationship would become more protective. Eric would be extremely possessive and protective of Sookie and the unborn child. Sookie, on the other hand, might start to rely on Eric more for physical protection and emotional support.
In some fanfictions where Sookie meets Eric first, it could lead to a very different relationship dynamic. Eric might be more possessive right from the start. He could use his charm and power to draw Sookie closer to him, perhaps protecting her from the very beginning against the other supernatural threats in the True Blood universe.
Sookie's pregnancy would likely make her more cautious. In the True Blood series, she's been rather fearless, but with a baby on the way, she'd have to think twice before getting involved in dangerous situations. For example, she might not be so quick to jump into a fight between vampires or werewolves. She'd also become more nurturing, which is a big change from her more independent and sometimes stubborn self. Her focus would shift from just surviving in the supernatural world to creating a safe environment for her child.