Well, they do "watch" her, using surveillance and spies. I'm speaking primarily of Rucka's first run where Kale had a whole team of people to run anti-wondy propaganda to fuel a hate campaign.
To get into more specifics, my "Godwatch" would consist of roughly 5 villains but also act as a revolving door for other villains.
Veronica Kale - leader/organizer
Dr. Cyber - second in command/cybernetics specialist
Giganta - hired muscle/genetic specialist
Blue Snowman - cryogenics specialist
Dr. Poison - poison specialist/leader of a small mercenary group
With Cheetah, Gundra, and Clea working with them every now and again.