If cutting off clothing is going to make it easier for me to do my job, or improves patient care by reducing pain or allowing more working space, it comes off. I don't really put much thought into it.
I don't see any hippa violation if treatments/injuries weren't discussed. sounds like your supervisors need a refresher on what constitutes a hippa violation.
I love my job. Yes, it CAN be stressful sometimes but most of the time its not bad.. some calls are more stressful than others but I can't say that I've ever been overwhelmed by stress. If you can't take things in stride I wouldn't recommend becoming a medic. Some shifts are 24 and some shifts are 12.. People also work 48's or 72's..depends. You eye condition might prevent you from driving the ambulance at night but I don't see why it would hinder you from becoming a paramedic.