Final answer:
The Suspensory ligament of the ovary is not part of the sub peritoneal pelvic connective tissue; it connects to the mesovarium and includes ovarian blood and lymph vessels.
Step-by-step explanation:
The ligament that is not a part of the sub peritoneal pelvic connective tissue is the Suspensory ligament of the ovary. While the Uterosacral ligament stabilizes the uterus by connecting the cervix to the pelvic wall, the Broad ligament of the uterus supports the uterus by extending to the pelvic wall, and the Round ligament of the uterus connects the uterus to the labia majora, the suspensory ligament of the ovary contains the ovarian blood vessels and lymph vessels and is connected to the mesovarium, which in turn is connected to the broad ligament but is not considered part of the sub peritoneal pelvic connective tissue.