I stay away from doctors whenever possible, but when I do have to go... as soon as something weird and nonsensical happens, I'm out. This sounds like one of those situations.

First ran into that years and years ago: new town, new doc, highly recommended by people I knew. Got in the office on the 11th day of a migraine... and the PA left me in an exam room with a smock and instructions to undress.

For a headache. On my first visit. Before I ever even met the doctor. No medical reason for that, IMO, but lots of psychological gamesmanship in it-- can't think of a better way to establish an unequal power dynamic right up front than insisting one party be naked at the first meeting. Never went there again.