No one really wants to visit the doctor, not even if he is George Clooney, a nice baby doctor who…read moremakes the girls all swoon. This is made worse in HK if you do need GP help, and are an ex-pat. It can be daunting to go to an Chinese doctor, or difficult to find an English speaking doctor.
If you are in this situation, I would recommend OT&P. They are primarily a family practitioner service, with a number of specialists doctors, running four clinics across HK Island. Think of them as your GP back in blighty, but with more doctors, more appointment availability, better healthcare. To be fair to the UK's NHS, OT&P are private, so you will need to pay or produce your medical cards.
Dr Trodd at the Wan Chai practice is particularly good, I have always found his patient care excellent and recommend him highly. He also has an amazing view out of his office, so if you are uncomfortable being prodded and poked, you can always have a look out of the window across the harbour to TST.
Just a few details for your digestion; the clinic is an hours clinic, as in they only work "working" hours. If you need out of hours care, you'll have to call 999 (there is some out of hours care for obstetrics). They are a dispensing clinic, so all the prescription meds are on site. No trip to Mannings for you then. There is also a lot of on-site testing that they can do.
Personally, I have always found it very easy to get an appointment, but fortunately, I very rarely go. Super healthy me - yeay!