Answer :
Final answer:
The correct term for a threat designed to cause shame or subject a person to ridicule in order to gain money, property, or services is extortion.
Explanation:
The term that describes a threat to expose any fact or alleged fact tending to cause shame or to subject any person to hatred, contempt, or ridicule is extortion. This is a criminal offense wherein an individual demands money, property, or services from another person with threats of harm or other adverse consequences. The other options listed, such as libel, slander, and defamation, involve harm to a person's reputation through false statements, but they do not encompass the use of threats for personal gain, which is the key aspect of extortion.