I've diverted this to the anonymous thread for reasons that will become obvious.  Imagine yourself in this situation.  You've arrived in the ER unexpectedly, and in excruciating pain.  (Even if you had your own modest hospital gown, unless you carried it on your person at all times, it would be useless---no time and no ability to put it on, in the way of the ER staff and in the OR that immediately followed. They'd have cut it off!)  You spend the night in the recovery room, and are wheeled into ICU where you are mostly, but not 100% free of anesthesia. You are clad in the typical hospital gown, unfastened at the back, sheet down at your knees to allow medical personnel easy access to various tubes, wires, and monitors attached to your person.  In the meantime, someone has notified the priest whom you've known for a dozen years.  He administers Last Rites because it is yet unclear if you will recover.  
Several weeks later, recovering, thanks be to God, in a regular room, Father returns to hear your Confession and give you Holy Communion.  In the midst of your confession, it occurs to you that Father has seen you naked.  How embarrassing and humiliating is that?  
Being a gentleman, Father never gives any indication of the incident.  But ever since you've become embarrassed when going to Confession and Communion, and in his presence among others after Mass. Maybe it's your imagination, but Father seems to be avoiding you.
What, if anything, should you do?  Apologize to Father for the thoughtlessness of the ICU nurses?  Notify the hospital director of the incident and file a formal complaint?  Try to forget it, like it never happened?  Forgo Mass and Sacraments so as not to scandalize the priest?  No other traditional Mass venue is available.
Any suggestions?

Is this a hypothetical situation?

It sounds far-fetched to me. If the patient was conscious enough s/he would ask for a sheet to cover him/her and if not the priest would ask on the patient's behalf. That's if a staff member had not already supplied the need. After all the priest does not go in without alerting the staff.

I seriously think that a certain segment of trads are constantly looking for problems where none exist just so that they can complain and express faux outrage.

as a trained CNA we were constantly told we would fail our clinicals and our state exam if we did not at all times PROVIDE PRIVACY which means ALWAYS AND EVERYWHERE NEVER EXPOSE ANY PORTION OF A PERSON UNLESS IT WAS ABSOLUTELY NEEDED. an if so DRAW THE CURTAINS AND CLOSE THE DOOR AND SHUT THE BLINDS. unless you are fat (which i am) or very tall (which i am as well) the gown covers you and if you are taken out into a hall you must be covered. now i live in a section of the country where medical standards are lax and that is the way it is here. truth is nurses and doctors are most of the time tired of seeing parts of the human anatomy. most of the time it aint pretty people.