Step 1: The clue word is "severe", which in conjunctivitis points to the hyperacute, purulent form. Hyperacute bacterial conjunctivitis is the most aggressive type and is classically caused by Neisseria gonorrhoeae (and less often N. meningitidis).
Step 2: This matters clinically because N. gonorrhoeae can penetrate intact corneal epithelium and produce severe ulcerative keratitis that may rapidly progress to corneal perforation within hours to days, so it is a sight-threatening emergency.
Step 3: The distractors are causes of milder disease. Staphylococcus aureus, Streptococcus pneumoniae and Haemophilus influenzae are the common organisms of ordinary acute (not hyperacute) bacterial conjunctivitis, which is self-limiting and does not threaten the cornea the way gonococcus does.
Step 4: Hence the organism behind a severe, copiously purulent (hyperacute) conjunctivitis is Neisseria, making option a correct.