A woman's bike will mount on a rack with the arms below/outside the large V of the frame. One arm will be under the downtube behind the front wheel and the other behind the seat tube or at the junction of the seat tube and seat stay. If possible, try your bike on the rack before you buy. Or get the rack dimensions (distance apart of the two arms) to see if it will work. This is actually a better way to mount the bike than using the top tube. If the rack doesn't come with rubber straps to secure the bike, use bungy cords just to be sure it can't come loose even on bumpy roads.