The completion date comes from the Hospital's website, which says: "Queen Elizabeth Hospital (QEH) started its service 1963 ..."
Camp Organization
It is a curious circumstance that the Japanese allowed the Camp to run itself. Government by an elected committee was therefore established; the committee became advisory when the Colonial Secretary of Hong Kong arrived in the Camp and was recognized by the Japanese as Representative of Internees.
The Hospital website gives a brief history of the hospital:
Introduction
This gets a photo and a mention in the Hong Kong Annual report for 1955:
Situated in the densest part of the city it serves, Tsan Yuk Maternity Hospital was opened this year. Designed by Mr. Eric Cumine, it has 200 beds and cost $3,600,000 to build and equip.
Dates from the GRS website with information about Wanchai's History. The hospital is mentioned several times in the 'Major incidents':
Plate 3-5b in Mapping Hong Kong shows that if you stood on Queen's Road and looked up St Francis Street, you'd see this building facing you at the end of the street.