I am french and I go to the doctor in France but it is quite the same as for you.
First there is until I have more than 40 age a PSA test in a laboratory which is made with a blood test.
then, when the doctor has the result, it is the DRE which beguins also around 40 age but it is not annual at that time, it become annual after 5o age with a female doctor I have for my annual check-up but she retired and the male doctor who replaced her is less consconcious, he perform a DRE only sometimes, not each year.
The position may be different. The male doctor asks me to bend over or if I am already lying on a table to roll on my side and to pull down my underwear, I have no gown. It seems to me that it is seldom that french doctors propose to wear a gown, it is only in hospital.
The female doctor told me to remove my underwear and that she left me the choice between two positions the first time : to be on all fours on a table, or to be lying on my back and to lift my legs and to tuck them under my chest in order to expose the anus.
She added that some persons were considering that the first one was more uncomfortable but she told that it was in her opinion the best one to perform the exam.
As I had already underwent some DRE during physicals for the military service in the first position on all fours, first at 18 age in a pre-induction center (it was my first in my life with a rough military doctor who treated me harshly), others after when inducted, I removed my underwear and I took that position on the table.
It was always a strange sensation when the doctor inserted fingers in the anus less or more deeply, but in fact it was fast and not really painful, I had no memory of being erected.
We have also a free check-up all five years in a community clinic which includes allways a DRE. It depends on the doctor for the position, it may be on all fours or lying on the back, and also one time a middle age female doctor asked me to just bend over after removing my underwear.
It is not a big deal once you know what is the exam.
It is only a demeaning when it is the first time at 18 age and performed without any privacy with a large group of spectators and without any explanations.