Update
Thanks again to everyone who posted in this thread and PMed me with advice. I should have updated this thread last week.
I ultimately ended up seeing Dr. Christopher Tong in Admiralty and he was great. My visit to his office was probably the single most positive experience that I've ever had with a medical professional during the nearly ten years I've spent in HK and I would highly recommend him to anyone who needs an orthopedist. My knee problem turned out to be not very serious and, in fact, nothing to worry about.