The questions stands like that:
If you are a Play Doc, how would you imagine your dream patient? How she/he should act? Overreacting, resisting, ot being cooperative and nice? Should be patient afraid of your treatment or enjoy its pleasures? Would you prefer a grown selfconfident mature man/woman or a rather nervous young man/girl?
If you are a Play Patient:
How would you describe you dream doctor/nurse? Nice and kind personality which makes contrast to unpleasant treatment or strict and cold doctor? Should be your play doc keep professinal distance or be passionate and intimate?
Luckily, I experienced online roleplay (just a few posts) in role of patient. My doctor was kind and smiling and I really loved that settings - you know, enjoying the contrast. As a patient you are concerned and afraid of unpleasant procedures (enema, rectal temps, shots, ...) but the doctor convinces you to undergo them. And finally the doctor is gentle and soothes you during the treatment.