Final answer:
The statement is false; the secretory phase is when the endometrium prepares for potential implantation, not when it is shed, which happens during the menses phase.
Step-by-step explanation:
The statement is false. During the secretory phase of the uterine cycle, the endometrium is not shed but is instead prepared to receive a fertilized egg. The secretory phase corresponds with the luteal phase of the ovarian cycle, where progesterone from the corpus luteum leads to changes in the endometrium that promotes implantation of an embryo. It's important to note that mucus and other cervical and vaginal secretions might increase during this time due to the influence of progesterone. Menstruation, involving the shedding of the endometrial lining, occurs during the menses phase, not the secretory phase.