Harjit Chaggar, 69, was last seen outside Linda Matthews estate agents in Luton Road, Chatham, on Monday 2nd September.
Mrs Chaggar had been to a Day Centre which she goes to every Monday before going to collect her prescription.
She was seen leaving the King’s Family Practice in Magpie Hall Road at around 3.30pm, before she made her way to an Asian grocery store in Luton Road.
After leaving the store, CCTV cameras captured her outside Linda Matthews letting agency, which is just 10 minutes from her home in Hillside Terrace. Since then there has been no trace of her.
Mrs Chaggar suffers from arthritis and has been without her medication for the last seven days. Her family have said her disappearance is completely out of character.
She was wearing glasses and was last seen wearing a rusty orange coloured full-length Indian dress suit and carrying a brown handbag.
Anybody with information is asked to call Kent Police on 101. Alternatively, call Crimestoppers on 0800 555111.