If you wear a hat, the outline of your face should be very beautiful and obvious. Then, your face should be longer and the proportion should be better. Then, if your face is round, you will have no sense of outline and look less beautiful.
The hat should be matched with the whole body and consistent with the body shape to really look good. Hat, different styles, different colors. Maybe not a hat, but a face. The hat you are wearing may not fit or match.