Final answer:
The most likely causal organism is Pneumocystis jiroveci (formerly P. carinii).
Step-by-step explanation:
The most likely causal organism in this case is Pneumocystis jiroveci (formerly P. carinii). The patient is a 47-year-old woman with systemic lupus erythematosus and associated vasculitis. She has been receiving high-dose prednisone therapy, which can suppress the immune system and increase the risk of opportunistic infections. The symptoms of fever, shortness of breath, and bilateral increased interstitial markings on chest x-ray are consistent with Pneumocystis jiroveci pneumonia, a common infection in immunocompromised individuals.