Whenever you have reason to see a doctor, it's likely that you just don't see any by chance, unless it's an emergency. You most likely go through a filtering process, with a checklist to enable you to decide on the most preferable doctor to consult. Once your selection is done, you almost take it for granted that the doctor you have chosen will be all too willing to see you.
Sometimes that isn't the case. Many people never realize that doctors also have their own checklist about who they prefer to see, and who they would rather not. It's called cherry-picking in healthcare.