**Core Concept**
The question tests the understanding of perioperative management of a child with a respiratory infection. The American Academy of Pediatrics (AAP) recommends that children with upper respiratory infections (URIs) be evaluated on a case-by-case basis for elective surgery.

**Why the Correct Answer is Right**
In children, URIs can lead to increased respiratory secretions, airway edema, and difficulty in oxygenation and ventilation. Tonsillectomy and adenoidectomy can exacerbate these symptoms, increasing the risk of postoperative complications such as respiratory distress, pneumonia, and bleeding. The decision to proceed with surgery should be made after careful evaluation of the child's overall clinical status, including the severity of the URI, the child's age, and the presence of any underlying medical conditions.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is likely incorrect because it implies that the child's runny nose is the only consideration for proceeding with surgery. However, the child's overall clinical status, including the severity of the URI, should be evaluated before making a decision.

**Option B:** This option is likely incorrect because it implies that the child's age is the only consideration for proceeding with surgery. While age is an important factor, it is not the only consideration, and the child's overall clinical status should be evaluated before making a decision.

**Option C:** This option is likely incorrect because it implies that the child's URI is mild and does not pose a significant risk for postoperative complications. However, even mild URIs can increase the risk of postoperative complications, and the child's overall clinical status should be evaluated before making a decision.

**Option D:** This option is likely incorrect because it implies that the child's URI is severe and poses a significant risk for postoperative complications. However, this option does not provide enough information to make a decision, and the child's overall clinical status should be evaluated before making a decision.

**Clinical Pearl / High-Yield Fact**
In children, URIs can lead to increased respiratory secretions, airway edema, and difficulty in oxygenation and ventilation. A careful evaluation of the child's overall clinical status, including the severity of the URI, the child's age, and the presence of any underlying medical conditions, is essential before proceeding with elective surgery.

**Correct Answer:** C.