Thought I would chime in for a moment. First though, that's a pretty relieving story. I'm still transitioning in stealth (not out at work, not out to friends or family although they know I started then stopped hrt, but are unaware that I restarted), but I hope to one day be able to be outspoken about it without fear.
She was probably a Phlebotomist. You don't have to be a Doctor, have a Ph.D, or be a medical student to draw blood. 🙂