Smiling contemptuously is a way of expressing disdain or disapproval. It is often done with a smirk or a sneer, which is a facial expression that conveys scorn or derision. The term 'smiles contemptuously' can be used to describe someone who is expressing their disapproval in a mocking or sarcastic manner. Sneers, which is the six-letter solution to the crossword, is a type of facial expression that conveys contempt and is often used to express disdain or mockery.