Final answer:
The patient's symptoms, including poor wound healing, hair loss, and fatigue, in the context of a poor diet and poorly controlled diabetes, suggest that he is most likely suffering from a zinc deficiency.
Step-by-step explanation:
The patient in the scenario is likely suffering from a zinc deficiency. Zinc is essential for maintaining a healthy immune system and plays a critical role in wound healing, cell growth, and hair growth. The patient's symptoms, including fatigue, hair loss, and poor wound healing, are consistent with zinc deficiency, especially in the context of a poor diet and poorly controlled diabetes, which can affect nutrient absorption. Additionally, given his history of alcoholism, this could further predispose him to nutritional deficiencies because alcohol can interfere with the absorption of zinc and other vital nutrients.