The show basically has no idea what to do with Catwoman and she's probably the weakest of the rogues in it. Crucially, they flubbed the secret identity element. With Bruce and Selina you've got to go either all-in or all-out when it comes to their identities. Either they both know who's behind the other's mask, or neither of them do. But Batman finds out Catwoman's identity in her very first episode, and she never finds out his. It spoils their cat-and-mouse romance because he's always got the upper hand over her and she never gives as good as she gets.

Ironically, for all its flaws, The Batman does the dynamic much better.