U.S. District Judge Rebecca R. Pallmeyer will soon be the first woman to lead the local federal trial court.She will take the reins of the U.S. District Court for the Northern District of Illinois on July 1.“It’s an enormous honor,” Pallmeyer said. “I’m hoping to live up to a fine tradition of leadership in our court and our circuit.”Her elevation to chief judge, Pallmeyer said, will be the next in a series of events she did not envision when she started her career.“I thought …