Update: I just received a call from the doctor's office and we have made a new appointment! The person who called was patient with me while I was considering the options she had made available, and I ultimately chose the first-on-the-list appointment at the site closer to me so I would not have far to go while it is still dark in the morning even though that location is a bit more crowded. However, she had also said a quiet place for waiting could be made available, if necessary, so I told her that would be fine and I will be there on the 11th of next month. She might have been able to get me in sooner at the distant-for-me location, but that would have required some disruption of how things are normally done there and I saw no need for me to be disruptive.