Final answer:
It is critical to assess the elderly patient's blood glucose levels due to the stress of the illness impacting diabetes control. Monitoring orthostatic blood pressures can also provide insight into the severity of dehydration which demands prompt management.
Step-by-step explanation:
An elderly patient with type 2 diabetes mellitus presents with symptoms consistent with pneumonia. Given the clinical signs of dehydration such as tenting skin and deep tongue furrows, along with the patient's fever and productive cough, it is important to assess all the vitals but especially the blood glucose level. This is essential because the stress of illness can lead to elevated blood glucose levels, which can further complicate the patient's condition and require adjustment of diabetes management. Moreover, monitoring blood glucose is crucial in diabetes care to avoid complications such as hyperglycemia and diabetic ketoacidosis. Additionally, assessing orthostatic blood pressures may be relevant due to the dehydration, as it could indicate the severity of the fluid loss and help guide treatment for rehydration.