The most "woke" part is a line from Catwoman, and it really makes her seem naive. The themes of the movie honestly seem almost "anti-woke".
For example, a major theme seems to be that we shouldn't be shackled to the wrongdoings of our ancestors, nor should we be punished for them. Another theme is that celebrity/hero worship is a bad thing. Finally, we're presented with the idea that a person can make a terrible mistake and still be a good person, which runs directly against cancel-culture. There even seems to be a message about how strong male figures are important in a child's life, which is just about as far from woke as one can get.
It's a different superhero movie to be sure, but it's not woke. At least not in my eyes. It's a mix of noir detective stuff and more traditional superhero tropes. Think "Seven" meets "The Dark Knight" and you're almost there.
I honestly think people were actively looking for wokeness (and who can blame them?) but that may have made them see woke aspects when, in reality, there really weren't many to be seen.
I have not seen it but Critical Drinker did say something along the lines that she needs help from the stunt men during the fight scenes but is to be expected in a modern movie but at least she does not outclass Batman.
I assumed she does beat up some guys in the movie. I tend to believe him, he also likes the movie despite the flaws. He also says there is a mix bag when deciding if it is woke or not.
I mean, I took a piss during one of her scenes so I may have missed something but the only dudes she "beats up" were two goons and she had a weapon while she got the drop on them.