Don't be too cowed. I've met a lot of neurologists and psychiatrists over time (anorexia as a teen, now MS; one of my children has ASD and another self-harmed). It's true that they're often quite well turned out - the neurologist who first told me I had MS, at the National Hospital for Neurology and Neurosurgery in London, wore the most expensive suits I had seen until that point.
But he hadn't managed to stop his underlings from sending me home within 30 minutes of a lumbar puncture, leading to a disastrous eight-day headache, and he made a mess of explaining the implications of my diagnosis to me. Utter failure in terms of patient care and bedside manners, seemed to think I should be happy with some brochure that appeared pitched at four-year-olds.
And psychiatry, I've realised by now, is really a mostly descriptive discipline, attributing diagnoses based on symptoms but with no understanding of their causes. The treatments are mere guesses. My DD's well-dressed psychiatrist has been in turns over-optimistic and overly punitive, rigid, naive, defensive when things went wrong and just unperceptive.
And she's not even the worst I've met, not by a long shot. The bloke who was supposed to help me when I was a teen was so busy trying to blame my 'overprotective' mother that he couldn't find the time to examine my abusive, nasty, terrifying father's role in my predicament. Common and garden sexism at its worst. The profession is rife with it; beware.
That said, I sympathise with your worrying about your 'meh' career. But there's no point. And children's health struggles put things in perspective. Brace yourself, you'll need your wits, backbone, patience, tact, perseverance, really all you have to get your kid help.