The collision happened just before 1pm on Wednesday on the A442 Queensway Southbound near A5 Rampart Way, the Hollinswood Interchange, near the merger with the entry slip road.
Fire crews helped the woman from one of the cars. After care from paramedics she was taken to the Princess Royal Hospital for further assessment.
Emergency services were also in the Whitchurch area after a crash on Wednesday afternoon.
West Mercia Police said the collision happened on the B5476, Tilstock Road.
“Emergency services are in the northbound carriageway, please use an alternative route, if you have to pass, please pass slowly for the safety of emergency services,” police said.