Step 1: The transverse cervical ligaments (cardinal ligaments or ligaments of Mackenrodt) are fan-shaped condensations of endopelvic fascia on each side of the cervix, lying above the levator ani and surrounding the uterine vessels.
Step 2: They connect the lateral aspect of the cervix and the upper vaginal wall to the lateral pelvic wall, forming a hammock that is the chief supporting structure for the uterus.
Step 3: This exactly matches the description in the question, so the answer is the transverse cervical ligament, option (d).
Step 4: The distractors differ: the broad ligament is a peritoneal fold, the pubocervical ligament runs from the cervix forward to the pubis, and the round ligament passes from the uterus to the labium majus through the inguinal canal. None of these run laterally from cervix and vagina to the pelvic wall.