The road has been closed at Doune and police have advised drivers to avoid the area.
Two cars were involved in the crash, which happened at about 12:30 on Thursday, two miles east of Callander.
The 55-year-old woman was taken to Forth Valley Royal Hospital, but her injures are not believed to be life-threatening.
A woman has been taken to hospital after a crash on the A84 near Callander in Stirling.