I snatched this little blurp from http://www.mulleriananomalies.blogspot.com/
Unicornuate uterus (UU): When one müllerian duct is underdeveloped or fails to develop, a banana-shaped half-uterus is formed. It may or may not be accompanied by a rudimentary horn, and that other horn may or may not have an endometrial cavity or communicate with the main uterine cavity. A missing kidney or other kidney problems accompany this asymmetric anomaly more than they do other MAs. Frequently, the ovary on the rudimentary side is found in an odd place, further up by the ribs. Adverse pregnancy outcomes are common with UU.
SEE FIGURE BELOW. (I am missing my right side, but I do have both my kidneys...go me.)