Step 1: List what each rate measures: fetal death rate tracks death of the unborn fetus, still birth rate tracks babies delivered without signs of life, and infant mortality rate tracks deaths of live born infants under age one.
Step 2: None of these three track deaths of the mother, they all track the child or fetus.
Step 3: Maternal Mortality Rate is explicitly defined as $MMR = \dfrac{\text{Number of maternal deaths due to pregnancy or childbirth causes}}{\text{Number of live births}} \times 100000$, capturing exactly the death of the woman as a result of delivery.
Step 4: Matching the question's description, death of women due to delivery, to this definition confirms the answer.
\[\boxed{\text{Maternal mortality rate}}\]