Stella Robinson will have been missing from her home for three weeks tomorrow.
Police were this week continuing the search for Mrs Robinson, 50, following leads from CCTV footage and sightings.
Mrs Robinson, of Clive Vale, Hastings, was said to be worried about forthcoming radiotherapy after completing a six-month chemotherapy course for breast cancer.
Sightings have placed the nursery nurse at Rye harbour nature reserve on June 30 and Victoria station, London on June 21.
Hastings officers and British Transport Police were scouring CCTV footage of the station.
She left home on June 13 without taking money, a change of clothes or her medication.
Mrs Robinson's family said they would be happy just to know she was safe, even if she was not able to go home.
She is described as white, 5ft 1in, with blonde hair cut in a short bob. She was last seen wearing a lilac jumper, black jacket and blue jeans.
Anyone with any information is asked to call 0845 6070999.
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