**Core Concept:** Medical termination of pregnancy (MTP) is a method to induce labor and deliver the fetus in cases where the woman chooses to terminate her pregnancy. The appropriate procedures depend on the stage of pregnancy.

**Why the Correct Answer is Right:** In the given scenario, the woman is at 6 weeks of pregnancy, which is in the first trimester. The recommended procedure for first trimester MTP involves the use of medical drugs, specifically mifepristone and misoprostol. Mifepristone, also known as RU-486, is an antiprogesterone drug that blocks progesterone's action, leading to uterine contractions and eventual abortion. Misoprostol is a prostaglandin analogue that stimulates uterine contractions to expel the fetus.

**Why Each Wrong Option is Incorrect:**

A. Inducing labor with a vacuum extractor (Option A) is a surgical procedure and is not applicable for first trimester termination.

B. Performing dilation and evacuation (D&E) (Option B) is a surgical procedure usually performed in second and third trimester, not suitable for first trimester terminations.

C. Medical termination of pregnancy using only misoprostol (Option C) is not recommended due to the risks associated with a single medication and the potential failure to induce a complete abortion.

D. Inducing labor with prostaglandin E1 (Option D) is another prostaglandin that is not used in MTP procedures, making it incorrect in this case.

**Clinical Pearl:** Inducing labor with prostaglandin E2 (misoprostol) is the appropriate method for first trimester medical termination of pregnancy, as it combines the effects of a progesterone antagonist (mifepristone) and prostaglandin mimic (misoprostol) to achieve uterine contractions and fetal expulsion, while minimizing risks associated with surgical procedures.