world's first successful uterus transplant happened today

On a woman of course.. The first 3 were not successful, the 4th was.  But you have to wonder if this would ever work on a male to female transexual?  Would the body reject it because of having the wrong chromosomes, or if they dial in this surgery could a male to female transexual eventually be given the gift of a pregnancy?  Granted a uterus isn't going to suddenly start producing eggs, but implanting a fertilized egg would allow them to still have the pregnancy.
http://www.cnn.com/2016/10/05/health/us-uterus-transplants/index.html