Traffic has been diverted from the scene in Watling Street South in Church Stretton.
Ambulance, fire and rescue and police teams were called to the area following reports of a crash shortly before 11.30am on Tuesday.
West Midlands Ambulance Service spokesperson Claire Brown said: "We were called to Watling Street South, Church Stretton at 11.26am to reports of a road traffic collision.
"An ambulance, paramedic officer and the Midlands Air Ambulance from Cosford with a MERIT trauma doctor and critical care paramedic on board attended the scene.
"Crews arrived to find a car which had reportedly rolled at low speed and collided with a woman. Ambulance crews worked with fire colleagues to release the woman who was trapped and had sustained serious injuries.
"She was given trauma care on scene by the team of ambulance staff before being airlifted to Queen Elizabeth Hospital Birmingham for further care."
A West Mercia Police statement read: "We were called to reports of a single vehicle road traffic incident on Watling Street South, Church Stretton. A woman trapped under a vehicle was released and taken via air ambulance to hospital with serious but not life threatening injuries."
Shropshire Fire & Rescue Service sent its two engines plus a rescue tender from Church Stretton and Craven Arms along with an operations officer to assist.
The brigade stated it was called to reports of one person trapped under a car.
"One female casualty released from under car using air bags, casualty now in care of ambulance service," its website stated.