The antonyms for the word "un-worldly" are "worldly," "sophisticated," and "experienced." These words reflect a knowledge and familiarity with the ways of the world, incorporating social dynamics, culture, and economic systems. A worldly individual understands how to navigate various situations and adapt to changing circumstances, while a sophisticated person is characterized by their refinement and cultured tastes. An experienced individual has a wealth of information that they have accumulated through life, including knowledge of things that transcend time and place. All three of these antonyms stand in stark opposition to the term "un-worldly," which implies ignorance, naivety, and inexperience.