Canada and Aus are still part of the Commonwealth, there are 53 nations in the Commonwealth and 16 of them have the Queen as technical monarch but membership of the Commonwealth is not dependent on accepting the Queen as anything other than the Head of the Commonwealth but with no powers over the organisation.
It is a bit complicated, but as de-colonisation processes go, it worked out quite well. A bit bloody in some places, but better than the fall of Rome.
|