Final Answer:
The most likely identification of the organism is Neisseria gonorrhoeae.
Step-by-step explanation:
The characteristics described, including small opaque colonies on a modified Thayer-Martin plate, gram-negative coccobacilli with square ends, fermentation of glucose, and superoxyl and catalase negativity, are indicative of Neisseria gonorrhoeae.
This bacterium is the causative agent of gonorrhea, a sexually transmitted infection. The use of a selective medium like modified Thayer-Martin agar is common for the isolation of Neisseria species, providing an environment that inhibits the growth of competing bacteria while supporting the growth of gonococci.
The microscopic and biochemical features mentioned align with the typical characteristics of Neisseria gonorrhoeae, allowing for a presumptive identification in the context of a cervical culture for possible gonococcal infection.