The correct answer is (D) Delicate skill; tact; great subtlety or diplomacy in action or performance, etc.; skillful maneuvering in difficult or sensitive situations; artful management. Also, a trick or stratagem. In addition, the amount of pure metal in an alloy, usually expressed in parts per thousand by weight.

Finesse comes from Middle French fin (fine).

Examples of use:

• She handled a situation, which could have become unpleasant, with finesse.
• In contrast, he had previously shown a notable lack of finesse.