Oh I love this question. Full disclosure, I'm not a lady, but a non-binary trans masculine human with a vulva.
My ultimate exam scenario would be a visit with a urogynecologist. The doctor would be a middle to older aged man 40-70s with a silver fox aesthetic. The exam would include a typical pelvic exam (internal and external, speculum, bimanual, and rectovaginal). The exam would also include a full investigation into my urinary tract. First, the doctor would need to collect a urine sample from me but this would need to be observed. I imagine going to the toilet with the doctor and him spreading my labia and cleaning my urethral opening before instructing me to start peeing while he holds my labia open while holding the sample cup beneath my urethra. After collecting my urine sample, he would explain that he needed to conduct urodynamic testing to access my bladder capacity and strength and to test the integrity of my urethra. He further explains that the urodynamic testing will include a voiding cystourethrogram, a cystoscopy, and measuring my post void residual volume. He explains that he will start with the post void residual volume and has me get on the table so he can catheterize me. After this, he conducts the cystoscopy and the voiding cystourethrogram. To take it further the doctor would then need to asess me again while aroused and then bring me to orgasm.
Being examined and having things inserted into my urethra and vagina has always turned me on, I'm not sure why. I think I enjoy the feeling of being full, especially in a hole that isn't meant to be used for sexual pleasure.
I had a voiding cystourethrogram done as a child and I think that is one of the things that turned me on to medical play. I haven't experienced anything besides sounding, catheterization (both in play) and gynecologic/pelvic exams (inside and outside of play exams)
If I could invent a new procedure... hmm, there's several. I'd like to create an exam that's called an orgasm assessment. It would require a number of sensors to be placed all over my body to monitor various vital signs. It would also be filmed. Then I would have to masturbate to orgasm under a variety of different circumstances, this testing would likely take all day. I would have to masturbate using only clitoral stimulation. Then again with only clitoral stimulation but my bladder will be filled to maximum capacity via catheter. We would then try this again after my vagina was filled with the biggest pussy plug I could take. I would also be forced to masturbate to orgasm while my bladder is filled to it's maximum capacity while I have to retain an enema. I would also invent some sort of device that would keep track of vaginal contractions when orgasming. This device would also have sensors to track any fluids released before or during orgasm.
I like the idea of uncomfortable procedures. Not painful but something that would cause a lot of anxiety or embarrassment but also would arouse me. The uncomfortableness would be mitigated by pleasurable clitoral or vaginal stimulation.
I am always embarrassed during exams but I am also aroused. I think the embarrassment is part of what arouses me.
The things that get me off the most about this topic is that I could be taken advantage of, used, and abused in an exam setting. I love the thought of being forcibly impregnated and different CNC scenarios.