Final answer:
The recess formed by the peritoneum between the rectum and the cervix is called the rectouterine pouch or the pouch of Douglas.
Step-by-step explanation:
The deep recess formed by the peritoneum between the rectum and the cervix is called the rectouterine pouch, also known as the pouch of Douglas. The rectum is the final section of the large intestine that ends just anterior to the sacrum and coccyx while the cervix is the lower part of the uterus, protruding into the vagina. The visceral peritoneum is a membrane that covers abdominal organs, forming folds that hold these organs in place within the abdomen and pelvis. This particular peritoneal recess is significant in female anatomy as it is the lowest point of the peritoneal cavity in the pelvis, and fluids can collect here.