Sorry, but if she was awarded a Ph.D. in psychology she is entitled to be called a psychologist. BTW, I still don’t believe her
This stuff varies from state to state. If you don't pass the licensing exam for the various professions, you might not be able to identify yourself in such a way to suggest you have a license to practice that field in that state.
No under california licensing she is not allowed to call herself a psychologist. That is why Stanford fixed their website. She can say she has a phd in psychology.