I recently dealt with paramedics for reasons I'm not comfortable discussing. What I can say is that my ID reads female, I was asked several questions to determine if I was aware and if I needed additional treatment. I told them I was on testosterone because I'm trans. They were two older men and one trainee. All three were professional and courteous. I've had to disclose to doctors on a few occasions and all they did was check the pharma books to make sure they wouldn't give me something that could cause any problems.
My belief is that people fall into three categories. 90% of people are good, decent human beings and don't want to hurt anyone. 8% are indifferent but harmless and 2% are less than ideal. Most people in the medical field are actually quite kind or at worst business like.
I grew up in the south (Middle of nowhere, Kentucky) and I lived in a fairly conservative town in Alaska. I haven't run into problems with people in medical or law enforcement. I have more problems with idiots on the street trying to figure out what I am, but even then it's harmless curiosity.