Well, it might start off very coldly. Lucius would be reluctant to accept help from a mudblood like Hermione in his eyes. But Hermione, being persistent, would keep pushing to help him. As she starts to break down his walls, Lucius might find himself drawn to her in a strange way. Maybe he starts to see her as a powerful ally rather than an inferior. And Hermione might start to understand the pressures that made Lucius the way he was before. This could lead to a relationship that has elements of mutual understanding, respect, and perhaps even a bit of attraction as they both discover new sides of each other during their time together.
At first, Lucius might be shocked by Hermione's flirting. He's used to a certain type of pure - blooded behavior, and Hermione, as a Muggle - born, is completely different. But as she continues to flirt, he could become intrigued. He might start to see her in a new light, not just as a Mudblood but as an intelligent and alluring witch.
Their relationship might develop through a series of intellectual debates. Hermione is known for her sharp mind, and Lucius is no fool either. They could start arguing about topics like blood purity and the rights of different magical beings. These debates could lead to a grudging respect for each other's viewpoints, and from there, a more positive relationship could start to form.
Their relationship might start with a lot of hostility. Hermione, with her strong sense of justice, would be very wary of Lucius, who has a history of being on the wrong side. But as they interact more, Lucius could be intrigued by Hermione's intelligence and courage. He might start to change his ways to impress her, and Hermione could see the potential for good in him.
In a fanfiction, perhaps Lucius Malfoy has lost his wealth and status due to Voldemort's fall. Hermione, being the kind - hearted person she is, decides to help him get back on his feet. She might use her skills in magic and her connections in the wizarding world. Maybe she helps him find a job at the Ministry of Magic in a department that could use his knowledge of the old pure - blood families' ways. This would be a very different Lucius, humbled by his circumstances, and Hermione's help could lead to a character - growth arc for both of them.
Hermione's character would likely experience a great deal of conflict. On one hand, she has her own strong values and beliefs which are in direct opposition to the Malfoy family's pure - blood ideology. But on the other hand, she might be forced to adapt to her new living situation. She could become more guarded and learn to play the political games within the wizarding society as she tries to survive in the Malfoy household.
At first, their relationship might be filled with distrust. Hermione would be suspicious of Lucius' motives since he has a history of being a Death Eater. Lucius, on the other hand, might see Hermione as just a task he has to fulfill. But as they interact more, for example, when Lucius helps Hermione with her studies of some complex dark magic related knowledge (but in a non - evil way), they start to understand each other better.
Their relationship could develop in a rather complex way. Given their very different backgrounds, there would be a lot of clashes. However, the marriage law forces them to coexist. As time passes, they might find common ground in their love for the wizarding world, albeit from different perspectives. Hermione could introduce Lucius to the idea of a more inclusive wizarding society, and Lucius could teach Hermione about the long - standing pure - blood traditions that have some value, if reformed. This mutual exchange could lead to a grudging respect and eventually something more like friendship or even love.
Their relationship might start off with Lucius acting more like a shadowy protector. Hermione doesn't know who is helping her at first. Once she discovers it's Lucius, she is shocked. But as time passes, Lucius starts to explain his reasons. Maybe he tells her about his regrets regarding his past actions. They could start to bond over shared interests in magic and books. Lucius might introduce Hermione to some ancient and powerful magic that she can use to protect herself further, and this could strengthen their relationship as they become more like teacher and student in some ways, while also being protector and protected.
One possible fanfiction could be where Lucius Malfoy, for some unexpected reason, decides to help Hermione when she is in a tricky situation in the wizarding world. Maybe he realizes that her intelligence can be useful for his own hidden motives. For example, she might be on the verge of uncovering a dark secret that could also impact Malfoy's family, and he helps her to keep it under wraps while also using her skills to his advantage.
Their relationship could start with hostility. Lucius might initially try to undermine Hermione's efforts in some wizarding matter, but she outsmarts him every time. This could gradually turn into a begrudging respect as he realizes her intelligence. For example, in a magical research competition.