Syndrome-sorting approach. Split STD organisms by what syndrome they produce. Urethritis means inflammation of the urethra with discharge and dysuria, and its roll call is gonococcus (gonococcal type) plus chlamydia, Trichomonas vaginalis, Mycoplasma genitalium and HSV (non-gonococcal type). Three options, gonococcus, chlamydia and trichomonas, sit squarely in that list. Haemophilus ducreyi belongs to a different bucket: it is the agent of chancroid, a soft, painful, ragged genital ULCER paired with tender, suppurating buboes in the groin. An ulcer-and-bubo bug is not a discharge-and-dysuria bug, so it is the one not involved in urethritis. Answer: Haemophilus ducreyi.