The Greek proper noun Drousilla refers to Drusilla, the youngest daughter of Herod Agrippa I and the wife of the Roman governor Felix. She was a Jewish woman who was present when Paul gave his defense before Felix.
Drousilla appears in Acts 24:24 as a historically significant figure — a Jewish woman married to a Roman governor, present for Paul's bold proclamation about faith in Christ Jesus, righteousness, self-control, and the coming judgment. The three topics Paul chose — righteousness, self-control, judgment — were pointed and personal, given Felix and Drusilla's adulterous union (Drusilla had abandoned her first husband to marry Felix). Felix was alarmed (Acts 24:25). The account reveals Paul's fearless willingness to speak truth to power, and the way the Gospel confronts personal sin regardless of social status.