Final answer:
The error in the instructor's statement is a Freudian slip and it concerns Sigmund Freud, the psychologist who developed psychoanalysis, not 'dr.FRAUD'.
Step-by-step explanation:
The instructor's statement "Let me introduce today's topic, psychoanalysis, developed by dr.FRAUD" contains a Freudian slip, which is a verbal or memory mistake that is believed to be linked to the unconscious mind. Sigmund Freud, not "dr.FRAUD", is the correct name of the psychologist who developed psychoanalysis. Freudian slips often reveal an unconscious thought, feeling, or wish. This is an unintentional error likely due to either a simple slip of the tongue or perhaps a subconscious association between the idea of 'fraud' and the instructor's opinion of Freud's theories.