Answer: Cryptosporidium.
Step 1: Severe, persistent, watery diarrhoea in an HIV or AIDS patient, especially with a low CD4 count, points strongly to an opportunistic intestinal parasite.
Step 2: Cryptosporidium parvum is the classic offender. It is a coccidian protozoan whose oocysts are acid-fast on modified Ziehl-Neelsen stain, and on intestinal histology the organisms sit at the apical brush border of the enterocytes, a recognisable diagnostic clue.
Step 3: The distractors do not fit a chronic AIDS-related diarrhoea diagnosed on histology: Staphylococcus aureus gives acute toxin-mediated vomiting, Salmonella gives an acute self-limited or invasive enterocolitis, and Clostridium botulinum causes paralysis, not diarrhoea.
Ref: Standard parasitology and HIV-medicine texts.