Officers are very concerned for the welfare of Dorota Kuras who was last seen on Tuesday 30 January.
She was dropped off at Witley Railway station at around 10:00 GMT that day and was expected to catch a train to either Guildford or London, but has not been seen since.
Dorota, 37, is described as white, 5ft 7in, skinny with medium blonde shoulder length hair and glasses.
She speaks with a slight Polish accent. The photograph of her wearing a hat is believed to show the clothes she was wearing when she went missing.
She is known to have links to Acton in London, as well as the Godalming and Guildford areas.
There is also suggestion she may have travelled to Tunbridge Wells or the Sussex coast.