**Core Concept**
The question tests the management of **placenta previa**, a condition where the placenta partially or completely covers the internal cervical os. In this scenario, the patient is at 32 weeks of gestation and has a **placenta previa type III**, which is a partial placenta previa where the placenta is in the lower uterine segment but doesn't cover the internal os.

**Why the Correct Answer is Right**
Since the patient is stable and has only mild uterine contractions, the best management would be to delay delivery until fetal maturity is achieved, typically around 36-37 weeks of gestation, to minimize neonatal complications. This approach allows for the administration of **corticosteroids** to enhance fetal lung maturity.

**Why Each Wrong Option is Incorrect**
**Option A:** Incorrect because immediate delivery may not be necessary given the patient's stable condition.
**Option B:** Incorrect as it may not be the most appropriate choice given the gestational age and the need to delay delivery.
**Option D:** Incorrect because it is not specified, but typically, immediate delivery is not the first line for a stable patient.

**Clinical Pearl / High-Yield Fact**
In cases of **placenta previa**, it's crucial to balance the risks of preterm delivery against the risks of maternal bleeding, and corticosteroids are often administered to promote fetal lung maturity if preterm delivery is anticipated.

**Correct Answer:** D. Expectant management.