brouiller

to blur; to mix up, confuse; to scramble (an egg); to set at odds, put (someone) off (something); to jam (a transmission), to scramble (a message)

Inherited from Middle French brouiller, from Old French brouiller, from Vulgar Latin *brodiculāre, from *brodicāre (compare Lombard brodigar (“to soil, pollute”)), from Late Latin brodium (“broth, stew, mixture”), from Proto-Germanic *bruþą (“stock, broth”). More at English broth, broil.