A&E docs are there to save lives, not for talking therapy
I have to say that the 3 times I've been to A&E for abdominal complaints, they resulted in diagnoses of 1. Appendicitis. 2. A ruptured ovarian cyst. 3. A retained placenta, I was either in so much pain, or losing so much blood that I really couldn't have given a shiny shite who did what to whom. A cubicle in A&E is very likely the safest place you could ever be. I even agreed to have two students have a feel of my ovarian cyst. I'm in no way a brave person, but really, I was in so much pain l I was away with the fairies and just wanted them to fix me. Letting a couple of students have a feel of my cyst did not delay my treatment. I was oompos mentis enough to reason that I was in a teaching hospital and student doctors and nurses have to learn stuff.
Having said that, I can understand that it might be a bit different if you've had bad experiences, and your anxiety about that overrides common sense.
When my Mum was rushed into hospital at 3am she was conscious, but they didn't ask her if they could remove her nightwear. They just cut it right up the middle with a pair of scissors so that they could apply heart and breathing monitors. In an emergency there is no time for niceties. They saved her life at that moment, but she died a couple of days later.
Imagine the fuss I'd have kicked up if she'd refused to have them remove her nightwear. Or delayed treatment until she gave consent.
She'd have died anyway, but I wouldn't have known that was a given.
I would have thought how stupid it was for a doctor to need permission to do everything he/she can to save someone's life.
And I might even have blamed them for pissing about asking permission to apply life saving treatment, just in case she sued them later for cutting up her nightie.
There are some people for whom any bodily intrusion can trigger PTSD, But I think they are few and far between. And in the scenario of an accident and emergency department, most people are there of their own choice, because they are in immediate need of medical attention.
So yes, OP, YABU. But I can understand why you feel as you do.