Whether she’s required to disclose strikes me as immaterial. The fact is she either cannot truthfully say she is fully vaccinated or, despite being vaccinated, she will not do you the courtesy of putting your mind at ease by disclosing that.

Putting on hold the question of whether she’s cultishly anti-science, reactionary or transphobic, she simply isn’t taking your need for safety seriously. What is the point of a therapist who doesn’t care about your safety?