I don’t see the problem here—she is a professor of psychology and a research psychologist. These are academic roles—call her professor or doctor. Both are perfectly legit. She never offered further. I think there are better areas to focus on than this.
Is she a professor or an adjunct professor?
We have both in the family and, trust me, there’s one mother of a difference.
Especially if this wench is the latter passing herself off as the former.