How would Batman and Catwoman's daughter be different from them in the fanfiction?

She might be very surprised at first. After all, Batman is not one to show his emotions so openly. But then she would likely be overjoyed. She has deep feelings for Batman too, and this proposal would be a confirmation of their complex relationship.

In some fanfiction, their daughter could be a powerful force for change in Gotham. She might use her parents' influence and resources in unique ways. For example, she could start a new movement to clean up the city, using her mother's charm and her father's detective skills to expose corruption and bring about real change. This would be a fresh take on the Batman - Catwoman story and add a new layer of depth to the Gotham universe.

Maybe the daughter discovers a secret conspiracy in Gotham that involves both her parents' past enemies. She has to use her unique combination of skills, like Batman's detective work and Catwoman's acrobatic abilities, to uncover the truth. Along the way, she forms her own team of allies, some from the side of the law and some from the fringes.

The Penguin could be a main antagonist. He might see the daughter as a new threat to his criminal operations in Gotham. Since she has the combined skills of Batman and Catwoman, she could easily disrupt his illegal business, like his smuggling operations.

Their relationship could start with Catwoman's yandere feelings being a bit of a shock to Batman. He's used to her as a cat burglar and occasional ally, but this new possessive side makes him wary. However, as time goes on, he might start to understand the root of her feelings and try to help her control her yandere tendencies.

She might possess a unique power related to her parents' skills. For instance, she could have the ability to scale buildings with ease like Catwoman, but also use Batman's gadgets in a more intuitive way. Her combat skills could be a blend of Batman's martial arts and Catwoman's acrobatic fighting style. She could also have a psychological edge, being able to read her opponents' moves and intentions, something she could inherit from her father's detective skills and her mother's street - smartness.

She could be a vigilante like her father, but with a more flamboyant style inspired by her mother. Imagine her swinging through Gotham in a purple and black catsuit, using her wits and combat skills to take down criminals.

The Penguin often makes an appearance. He can add an extra layer of chaos and villainy to the story. His devious plans can either get in the way of Batman and Catwoman's relationship or be a catalyst for them to work together more closely.

Batman is all about justice and order, while Catwoman is more of a free spirit who toes the line between good and bad. Their differences can create a lot of tension and attraction. Batman's seriousness can be intrigued by Catwoman's playfulness. And Catwoman can be drawn to Batman's unwavering sense of right and wrong. It's like two opposite poles that are magnetically attracted to each other.

A way to develop their relationship in this type of fanfiction is through joint parenting. They might have different approaches to raising their kids. Batman could be very strict about discipline and training, while Catwoman might be more lenient and focus on teaching the kids about the importance of freedom. Through these differences, they learn to understand each other better and grow closer as a couple. Also, they could face external threats to their family which forces them to rely on each other more, strengthening their bond.