## Core Concept
The question pertains to the selective medium used for the isolation and cultivation of *Neisseria gonorrhoeae*, the causative organism of gonorrhea. Selective media are agar plates that inhibit the growth of certain types of bacteria while allowing others to grow. For *N. gonorrhoeae*, the medium needs to support its fastidious growth requirements.

## Why the Correct Answer is Right
Thayer-Martin agar is specifically designed for the selective isolation of *Neisseria gonorrhoeae*. It contains vancomycin, colistin, nystatin, and sometimes trimethoprim lactate (or other antibiotics) to inhibit the growth of other bacteria, while *N. gonorrhoeae* is able to grow. This medium provides the necessary nutrients, such as X (hemin) and V (nicotinamide adenine dinucleotide, NAD) factors, required for the growth of *N. gonorrhoeae*.

## Why Each Wrong Option is Incorrect
* **Option A:** This option is incorrect because it does not specify Thayer-Martin agar or another recognized selective medium for *N. gonorrhoeae*.
* **Option B:** Similarly, this option does not correspond to a known selective medium for gonococci.
* **Option D:** This option is also incorrect as it does not accurately represent a selective medium used for the isolation of *N. gonorrhoeae*.

## Clinical Pearl / High-Yield Fact
A key point to remember is that *N. gonorrhoeae* requires specific nutrients (X and V factors) and a selective medium like Thayer-Martin agar for growth. This is crucial for laboratory diagnosis, as the organism is fastidious and does not grow on routine culture media.

## Correct Answer: C.