**Core Concept**
The question requires understanding of the physiological effects of rapid insulin infusion, specifically on blood glucose levels and cellular responses. Insulin is a key hormone regulating glucose metabolism, and its rapid administration can have significant effects on glucose homeostasis.

**Why the Correct Answer is Right**
Rapid infusion of insulin triggers a cascade of cellular responses, leading to a rapid decrease in blood glucose levels. Insulin binds to its receptor on the surface of cells, activating a signaling cascade that ultimately leads to the translocation of glucose transporter type 4 (GLUT4) to the cell surface. This increases glucose uptake in cells, particularly in muscle and adipose tissue, resulting in a decrease in blood glucose levels. Additionally, insulin inhibits hepatic glucose production by suppressing the expression of key enzymes involved in gluconeogenesis.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because rapid infusion of insulin does not cause an increase in blood glucose levels. Insulin's primary effect is to decrease glucose levels.
* **Option B:** This option is incorrect because rapid infusion of insulin does not lead to a decrease in insulin levels. Insulin levels actually increase with administration.
* **Option C:** This option is incorrect because rapid infusion of insulin does not cause a decrease in glucose uptake in cells. Insulin actually increases glucose uptake by promoting the translocation of GLUT4 to the cell surface.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that rapid insulin infusion can cause hypoglycemia, especially in patients with diabetes. Therefore, careful monitoring of blood glucose levels is crucial when administering insulin, especially in the initial stages of treatment.

**Correct Answer: A. Hypoglycemia**