**Core Concept:**
Enterobacteriaceae is a family of gram-negative, rod-shaped, aerobic bacteria that belong to the order Enterobacterales within the class Gammaproteobacteria. They are commonly found in the environment and the gastrointestinal tracts of humans and animals. These bacteria can cause various infections and are important in clinical microbiology.

**Why the Correct Answer is Right:**
Enterobacteriaceae is classified based on the following characteristics:
1. **Chemotaxonomy:** These bacteria are characterized by their ability to ferment glucose via the Embden-Meyerhof-Parnas (EMP) pathway, producing carbon dioxide and pyruvate as end products. This is why option C is correct: "Chemotaxonomy: fermentation of glucose via Embden-Meyerhof-Parnas pathway."
2. **Physiology:** Enterobacteriaceae are facultative anaerobes, meaning they can grow in the presence or absence of oxygen. This is why option A is correct: "Physiology: facultative anaerobic."
3. **Physiological characteristics:** They are motile and produce endospores, which enable them to survive unfavorable conditions such as desiccation, heat, and chemicals. This is why option D is correct: "Physiological characteristics: motile, spore-forming."
4. **Pathogenicity:** Some Enterobacteriaceae species are pathogenic and can cause infections in humans and animals. This is why option B is correct: "Pathogenicity: pathogenic species."

**Why Each Wrong Option is Incorrect:**
Option A (anaerobes) is incorrect because not all members of Enterobacteriaceae are strictly anaerobic. They are facultative anaerobes, meaning they can grow in the presence or absence of oxygen.

Option B (anaerobes) is incorrect for the same reason as option A. Enterobacteriaceae is a family of facultative anaerobes, not strictly anaerobic.

Option D (non-motile) is incorrect because not all Enterobacteriaceae are non-motile. They are motile, which allows them to move and colonize different environments.

Option E (non-spore-forming) is incorrect because not all Enterobacteriaceae are non-spore-forming. Some species produce endospores, which enable them to survive unfavorable conditions such as desiccation, heat, and chemicals.

**Clinical Pearl:** Enterobacteriaceae are a diverse family of gram-negative bacteria, comprising both commensal flora and pathogenic species. Some enteric bacteria, like Escherichia coli and Salmonella, cause diseases like urinary tract infections, gastroenteritis, and sepsis. Understanding the characteristics of Enterobacteriaceae is crucial in clinical microbiology for making accurate diagnoses and selecting appropriate antibiotics for treatment.