In the course of the conversation, I made a joke—an indiscreet joke, as I am all all too typically prone to do.
It suggested she was indiscreet, had poor judgment, and was insensitive to different groups.
People are simply too disorganized and indiscreet to pull off a secret world-wide plot.
"imprudent, not discrete" (early 15c.) and indiscrete "not containing distinct parts" (c.1600) are both from Latin indiscretus "unseparated; indistinguishable, not known apart," the former via an Old French or Medieval Latin secondary sense. From in- "not" (see in- (1)) + discreet. Related: Indiscreetly; indiscreetness.