The woman was injured when a stone wall above her house on a hill in Kamakhya area collapsed as the soil underneath it loosened due to the rains, police said.
Four other houses were also damaged in the area, police said.
In nearby Pandu area, five thatched houses were flattened in yet another landslide, but none was hurt.
Some other houses were also reported to have been damaged in the Pub-Sarania Hill area due to another landslide.
Rain waters caused water-logging in a large part of the city, including on arterial G S Road, GNB Road and R G Barooah Road besides in residential areas of Anil Nagar, Tarun Nagar, Pilingakata, Nabin Nagar, Lachit Nagar, Rajgarh Road and other low-lying areas.
Rain water rolling down from neighbouring Meghalaya hills also submerged Pilingakata area of the city along the inter-state boundary, official sources said.