Let the microscopy lead: budding yeasts plus pseudohyphae is a Candida albicans signature, so the oral lesion is candidiasis (thrush), the commonest opportunistic mouth infection in HIV. Removable white curd-like plaques over a red base fit perfectly.
Rule out the look-alikes by their hallmark. Oral hairy leukoplakia is an EBV-driven corrugated white plaque on the side of the tongue that will not rub off and lacks fungi. Lichen planus shows reticular Wickham striae with a subepithelial band of T lymphocytes. Diphtheria gives a tough grey pharyngeal pseudomembrane from Corynebacterium diphtheriae. Since none of these shows yeasts and pseudohyphae, the answer is candidiasis.
Ref: Robbins Basic Pathology, pg 502-503.