Nonu I am sorry that you so obviously think I am being didactic, but many a Scot, or Welsh or Northern Irish person does not want to be called "English", and is offended by being so called, and rightly so! They have proud and distinct histories, albeit now being part of the Union.
When rugby commentators refer to "God save the Queen" as the "English" national anthem they are totally wrong, as is often pointed out here!
Paraphrased from Wikipedia:
Elizabeth II (Elizabeth Alexandra Mary, is the constitutional monarch of 16 sovereign states, known as the Commonwealth realms, (the UK is one of the sovereign states ) and their territories and dependencies. She is Supreme Governor of the Church of England and, in some of her realms, carries the title of Defender of the Faith as part of her full title.