The scenario you described indicates that the patient is suffering from severe sepsis due to pneumonia, which has led to a systemic inflammatory response and impaired organ function due to the lack of oxygen. The inability to regulate temperature, decreased respiratory rate, and organ starvation of oxygen suggest that the patient has transitioned from compensated to decompensated shock.
Given the details, the best description of the progression of the patient's condition would be irreversible septic shock. This is characterized by a profound drop in blood pressure, impaired organ perfusion, and ultimately organ failure, which aligns with the symptoms of cold extremities, decreased respiratory rate, and brain dysfunction due to oxygen deprivation.