During her career , Dunwoody has been assigned to the 82nd Airborne Division , 10th Mountain Division and the Defense Logistics Agency . Bush appointed Lt . Gen. Ann E. Dunwoody to be head of Army 's supply arm . By law women are excluded from combat command , the typical path to four - star rank . Dunwoody has served 35 years , and became Army 's top - ranking woman in 2005 . There are no active - duty women serving as generals or generals .
Bush appointed Lt . Gen. Ann E. Dunwoody to be head of Army 's supply arm . By law women are excluded from combat command , the typical path to four - star rank . Dunwoody has served 35 years , and became Army 's top - ranking woman in 2005 . There are no active - duty women serving as generals or generals .