When something is done exquisitely, it's done with beautiful, perfect detail, like a masterfully painted portrait or a beautifully composed symphony.
To do something exquisitely means to do it with exceptional beauty and precision. Think of a delicate piece of jewelry crafted with intricate designs, or a dish prepared by a top chef with the finest ingredients. The word comes from the Latin exquisitus, meaning "carefully sought out or chosen." Exquisitely crafted things stand out for their detailed perfection and elegance, such as a finely written poem, a gorgeously decorated room, or a flawlessly executed dance performance.