The Queen's English refers to grammatically correct and coherent written expression in the English language. It does not refer to a specific accent, intonation or regional variation of the spoken language.
"I wish the lawmakers would write laws in the Queens English instead of this incomprehensible legalese crap"
A person of "non-english speaking background" (NESB), for which you apparently qualify if one of your parents was born in a country where the main language is not English. In some contexts, an excuse for underperformance.
"You should not put so many big words in that report. The nesbies wont be able to understand you"