She competed for East Germany at the 1988 Summer Olympics held in Seoul, where she won the bronze medal in the classic race over 42.195 km. Dörre is a triple winner of the Osaka Ladies Marathon and has a record of 35 sub 2:34 times, with a personal best of 2:24:35 (1999, course record of the Hamburg Marathon). She was the bronze medallist in the marathon at the 1991 World Championships in Athletics and returned at the 1993 World Championships in Athletics, but managed only sixth place on her second attempt. She just missed out on the podium with a fourth-place finish in the marathon at the 1996 Summer Olympics