Final answer:
A young child consuming high quantities of milk with little solid food is primarily at risk for Iron-deficiency anemia due to insufficient iron intake which is crucial for development.
Step-by-step explanation:
A 2-year-old child who drinks large quantities of milk and consumes very little solid food is at risk for Iron-deficiency anemia. This type of anemia is common in young children who are not receiving enough iron, which is a key nutrient found in solid foods. A diet high in milk but low in solid foods may not provide sufficient iron, leading to this condition. This form of malnutrition can have serious consequences for a child's development and health, including cognitive and motor deficits.