They could have a story where Catwoman is framed for a crime she didn't commit. Robin, being the detective - in - training, starts to investigate. As he digs deeper, he realizes that Catwoman is being set up. He then decides to help her clear her name. Along the way, they learn more about each other and develop a mutual respect.
Catwoman also serves as a sort of wild card. Her actions are unpredictable, which can sometimes disrupt the plans of both the criminals and the heroes. But overall, she helps keep a balance in Gotham's dark and dangerous world, by keeping the more powerful and corrupt criminals in check.
The way Catwoman becomes Catwoman in the comics is complex. It might start with her facing hardships and injustice, which leads her to take on a rebellious and independent identity. Her training and natural abilities also play a crucial role in her evolution.
Overall, Gotham has some similarities to the comics, but it also makes significant changes to characters and plotlines to make it more unique for the TV series. For example, some characters' personalities and backstories are altered.