Aesthetically is the adverb: in a way that has to do with beauty, or with how something looks and feels to the senses. If a room is aesthetically pleasing, it is pleasing because of its beauty, not because it is cheap or fast. People also say aesthetically speaking when they want to talk only about looks, and put other questions — money, morals, use — to one side for a moment. It is a school-and-museum word, though aesthetically pleasing has walked into ordinary talk too, so often that it can sound a bit ready-made. Built from aesthetic plus -ally, the usual English way of turning that kind of adjective into an adverb.