One possible storyline could be her struggle to break free from her father's criminal legacy. Maybe she realizes the harm her father is causing in Gotham and decides to secretly help Batman stop him. This would add an interesting layer of family drama and moral conflict to the Batman Arkham universe.
Perhaps she gets caught in the middle of a power struggle between different criminal factions in Gotham. As the Penguin's daughter, she is a valuable asset or a target. She could then have to rely on her wits and any allies she has made (maybe some of the Arkham inmates who have a soft spot for her) to survive. This would make for a tense and action - packed fanfiction story.
The story could also focus on her trying to redeem the Penguin's name in Gotham. She might use her own skills, which could be different from her father's, like her intelligence or charm, to make a positive impact. For example, she could start a charity in the name of the Penguin family but with a real intention to do good. This would create a unique situation where the citizens of Gotham have to re - evaluate their views on the Penguin family.
One motivation could be a desire for redemption. She might see how her father's actions have hurt the city and want to make it right. So she could be secretly working against him or trying to change his ways.
One possible fanfic could start like this: In the dark and gritty Arkham City, Penguin's daughter, let's call her Ophelia, has grown tired of her father's criminal ways. She decides to secretly help Batman in his fight against the villains. One night, she leaves a clue for Batman in the form of a riddle that leads him to a hidden stash of Penguin's weapons. She hopes that by doing this, she can start to make amends for her father's misdeeds.
First, you need to develop her character well. Decide on her personality traits that are different from her father. Is she more kind - hearted? Or perhaps more cunning in a different way? Then, create a strong plot. It could involve her trying to make amends for her father's wrongdoings. Also, add some unique elements like her having a special relationship with a particular location in Gotham.
She could become an ally of Batman. Despite her father's villainy, she might see the error of his ways and decide to help Batman fight crime in Gotham. This would be a huge twist in the Batman - Penguin dynamic.
Well, in this type of fanfiction, the dynamic between Batman and the Penguin's daughter might be complex. Batman is all about justice and the Penguin is a supervillain. His daughter could be a character torn between two worlds. She might have a soft spot for Batman's cause but also love for her father. It could be a story full of internal conflict and moral dilemmas.
They might be really intrigued. Ruby, for example, could be excited by the action - packed scenarios in the fanfiction that are similar to her own battles. Weiss might be more critical, analyzing the writing style and how it portrays the Batman Arkham universe. Blake could find parallels between the themes of the fanfiction and the struggles in her own world. Yang would probably enjoy the intense fight scenes and the strong characters in the fanfiction.
In many fanfictions, Jason saving Batman in 'Batman Arkham Knight' often shows a new side of their complex relationship. It could be a moment of redemption for Jason. Maybe he realizes the true meaning of Batman's mission and decides to put aside their differences. This scenario allows for deep character exploration.
One possible storyline could be about Marley growing up in the wizarding world with the Malfoy name and all the expectations that come with it. Maybe she struggles to break free from the pure - blood ideals her family has held for generations and tries to make friends outside of the traditional pure - blood circles. She could also have some sort of special magical ability that sets her apart and causes both admiration and envy among her peers.
A possible fanfiction could focus on a team - up between Poison Ivy and another Arkham character, like Catwoman. They could form an unlikely alliance to take on a common enemy in Arkham City. The story could show their different motives and how they manage to work together despite their differences. For example, Ivy wants to protect the natural environment of Arkham City which is being destroyed by a new construction project, while Catwoman is more interested in the valuable artifacts hidden in the buildings.
There could be many interesting fanfictions about Copperhead in Batman: Arkham Origins. One could be about her backstory before she became a villain in the game. Maybe she had a difficult past that led her to a life of crime.