Herpes Simplex Virus (HSV) infection often presents as painful oral ulcers or skin lesions and is notable in histological preparations for extensive cellular necrosis and the presence of intranuclear and cytoplasmic inclusions, which are a characteristic of HSV infection. The patient's condition of chemotherapy-induced immunosuppression also increases her susceptibility to opportunistic infections such as HSV.

While HIV can cause numerous skin conditions, it primarily affects the immune cells and does not cause the extensive cellular necrosis and presence of intranuclear and cytoplasmic inclusions described. Furthermore, the patient does not show any signs of other HIV-related conditions.

Candida infection can result in oral thrush and cutaneous candidiasis. However, they do not cause extensive cellular necrosis, and the intranuclear and cytoplasmic inclusions described are not characteristic of fungal infections.

HPV primarily causes warts, not the painful skin lesions with necrotic cells described in the prompt. Furthermore, HPV does not cause the intranuclear inclusion bodies that are seen in the patient's biopsy.