A little further, you can go to Elizabeth Hospital. It's at the end of Jordan Road, about 2 kilometers from the intersection of Willie Street.
There is also a hospital near Jordan Road, which is the People's Liberation Army Hospital, near gun club hill barracks. Take exit B2 of Jordan Station and walk along Jordan Road across the street for about 300 meters. Go ahead from the People's Liberation Army Hospital, cross the West Kowloon Corridor, and go ahead for about one or two hundred meters, and you will see the Queen Elizabeth Hospital.