Final answer:
Neisseria gonorrhoeae, the bacteria causing gonorrhea, is identified as Gram-negative cocci, visible as bean-shaped diplococci in a Gram stain.
Step-by-step explanation:
The response to the query regarding the isolation of Neisseria gonorrhoeae (often abbreviated as GC) from a child would be c) Gram-negative cocci. This species of bacteria is known for causing the sexually transmitted infection gonorrhea and has a distinct morphology that can be identified easily through Gram staining. When viewed under a microscope after a Gram stain, Neisseria gonorrhoeae appears as bean-shaped pairs of bacteria, also known as diplococci, which are Gram-negative due to the composition of their cell wall allowing the stain to wash out and appearing pink or red under a microscope with a light oil immersion lens.