What is a critique?

Simply put a critique is a critical analysis of a work (like a book, story, painting, sculpture).

An aesthetic critique would therefore be a critical analysis relating specifically to areas concerning the appreciation of beauty or good taste of the (book, story, painting, sculpture).

Basically someone trying to impose their views as to what is good art on you in a pretentious manner using long Words and gobbledygook. Many people think that "critics" are people that can't create earning a living of those that do create.