Someone who is adroit is clever and skillful. An adroit leader will be able to persuade people to go with his ideas. An adroit sculptor can turn a lump of clay into an object of great beauty.
If you've ever studied French you know that droit means "right," both as in "right of free speech" and as in "left and right," and à droit means both "turn right" and "properly." Once English people borrowed à droit, they changed the meaning slightly, from doing something "properly" to "doing something well." You may have heard the expression "surprisingly adroit," as in, "For a guy whose wife does all the cooking, he is surprisingly adroit in the kitchen."