What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

I am anonymous one will get one million dollars. At the end first 15 will be chosen answer without using google or any search engine your phone and PC or laptop is being monitored.
all 14 will get and finally one will get 1-million dollars