Michelle Veater was last seen in the Ramsgate Road area of the town at 11.30am on Monday 14 March 2022.
The 55-year-old has brown hair and is thought to have been wearing a floral T-shirt, grey trousers, a blue or green jacket and brown shoes when last seen.
Officers are concerned for her welfare and urge anyone who has seen her or knows of her whereabouts to call 101, quoting reference 14-0826.
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