The SSID Profile is attached to a VirtualAP Profile. To see this, from the GUI, press the "Show References" button on the SSID profile screen so see where it's mapped to.
Once you figure out the VirtualAP profile, check to see if that profile is tied to an AP Group. If so, remove it from the group, delete the VirtualAP profile (or assign another SSID profile) and then remove the SSID profile.
If you wish to just "stop broadcasting" the SSID, then just remove the Virtual AP profile from the active AP group.