Overall, no strong preferences either way for doctors or nurses, I've known great men and women in both professions, and sadly a few clunkers too. The worst pelvic exam I ever had was done by a female MD. If I had to pick, I prefer female doctors over men, and MD training over DO. so go figure, my PCP and OB/GYN are both males with DO degrees. I really like my PCP, he came highly recommended and is a true family practitioner, caring for 4 generations of DH's family. He's also good about giving referrals to specialists.
The OB/GYN is OK, I was happy with the group as a whole since I was high risk with both pregnancies. Now, I see one of the female ARNP's for routine visits, she's easier to schedule with.
as for student visits, I generally say yes. My PCP often has medical students following him. At first, they just shadow, then after a few weeks they start taking histories and doing the initial exam. AFter they are done, they come back in with the doctor, he may ask a few more questions, does his exam, then before saying anything, asks what the student thinks. The doctor then agrees or says, no - you need to look again and shows the student what to look for. If we've had a run of ear infections, I might be in there 3-4 times in one month, and get to see how the student progresses. There have been 1 or 2 that just didn't seem to have the knack of working with patients, most have been very good to excellent.
when I was in labor the 2nd time, there was a male paramedic student shadowing my nurse. I agreed to let him be in the room and examine me - I'm not an overly modest person and frankly, when I am in labor, you can march a parade through my room and I wouldn't care. I had no fears that the nurse would step up and take over if needed, and she did so a couple of times.
the "can a student examine you?" can be taken too far. my grandmother had a very rare form of ophthalmic cancer over 20 years ago. She was at a teaching hospital iwth a well-regarded ophthamology department. Grandpa had to put a halt several times to the parade of residents and other doctors that wanted to examine her. On the one hand, this could well be the only time they see a case of this during their 4 year residency, but they were overstepping the limits of what my grandma could endure. She was ill and very tired.