Which word means offensively malodorous?

The word "fetid" accurately describes something that is offensively malodorous, often associated with a strong, unpleasant smell. It derives from the Latin word "fetidus," which means stinking. The term is typically used in contexts where a foul odor is prevalent, such as decaying matter or stagnant water.

In contrast, the other choices relate to different concepts. "Fracas" refers to a noisy disturbance or quarrel, which does not pertain to smell. "Filigree" describes delicate ornamental work, typically in metal, and has no connection to odors at all. "Foment" means to instigate or stir up, especially in the context of trouble or rebellion, again unrelated to malodor. Therefore, "fetid" is the only word among the options that specifically refers to a repulsive odor, highlighting its relevance in the question.