Four fire engines and around 25 firefighters tackled a house fire on Tyndall Road in Welling.
The first floor of the two-storey building was destroyed by fire. One adult woman was led to safety by firefighters before being taken to hospital by London Ambulance Service.
The Brigade was called at 1303 and the fire was under control by 1411. Crews from Plumstead, Bexley and Eltham fire stations attended the scene.
The cause of the fire is under investigation.