**Core Concept**
The underlying principle being tested is the management of a neonate with a history suggestive of infection, given the maternal history of chorioamnionitis and premature rupture of membranes. This scenario increases the risk of neonatal sepsis, a serious condition requiring prompt intervention.

**Why the Correct Answer is Right**
Given the clinical context of a term neonate not feeding well with a maternal history of chorioamnionitis and premature rupture of membranes, the best approach would involve empirical antibiotic therapy due to the high risk of neonatal sepsis. This condition can rapidly progress and has significant morbidity and mortality if not treated promptly.

**Why Each Wrong Option is Incorrect**
**Option A:** Would be incorrect as it does not specify the initiation of empirical antibiotic therapy, which is crucial in suspected neonatal sepsis.
**Option B:** Incorrect because, while supportive care is important, it does not address the potential infection directly.
**Option C:** Incorrect as it lacks specificity regarding the management of suspected sepsis.
**Option D:** Incorrect because, although it might be a part of the management, it is not the best approach on its own without considering antibiotic therapy.

**Clinical Pearl / High-Yield Fact**
Neonatal sepsis is a medical emergency, and any neonate with suspicious symptoms, especially with a maternal history of chorioamnionitis or premature rupture of membranes, should be started on empirical antibiotics promptly after obtaining blood cultures.

**Correct Answer:** D. Empirical antibiotic therapy.