Clinical pearl: in an HIV patient with profuse chronic watery (non-bloody) diarrhea, think Cryptosporidium first. It is one of the most common AIDS-defining causes of intractable diarrhea once CD4 counts fall.
The biopsy clinches it. Cryptosporidium oocysts appear as small basophilic round structures, roughly $2$ to $5$ $\mu$m, lined up along the apical (brush border) surface of enterocytes, looking like beads stuck to the cell edge while remaining intracellular yet extracytoplasmic. Giemsa highlights them.
Eliminate the others: CMV colitis gives bloody diarrhea with owl-eye intranuclear inclusions, Giardia trophozoites float in the duodenal lumen as pear-shaped flagellates, and microsporidia need modified trichrome to be seen. None reproduce the apical blue-bead look, so the answer is option (d), Cryptosporidium.