Hold up. GIRL! Are you telling me you can actually request that your letter writers include certain things in the letter? Whattttttt. I can't even.. Never ever heard of... Mind blown. I thought these letters were typically closed letters. What's going on here. Have I been deceived all my life?
I think what you're going for is... behaving professionally. Be punctual, be respectful. Show interest if you have it. Avoid being effusively enthusiastic, if it is not you. It will be disingenuous. Don't be awkward, overbearing. Absolutely don't cut someone off - patient, nurse, staff, or physician.
If you are really quick and catch on to the doctor's routine and he's okay with it, you can take the initiative to do small chores to facilitate the visit. Grab a chart from the door. If it's a procedurally oriented practice, fetch the suture removal kits for suture removals. If it's some minor procedure position the trashcan, gloves, other PPE in a convenient place. Help clean up (safely) afterwards. If a dressing is being changed, see if you can lend a hand opening dressings. I swear, this is like common sense stuff that's actually helpful but seems to be missed by medical students all the time. You could shine with some initiative.
A good mentor will ask you, "what do you think" or "do you have any questions?" Take that opportunity to shine.