The woman is described as aged in her late 40s, 5ft 9ins tall, with blonde hair and wearing a knee length dark coat.
Anyone who knows the woman should contact PC Helen Woollven at Kent Police on 101, giving reference SI/ZY/2637/13.
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Monday's weather for the west of the region
Monday's weather for the east of the region
The Met Office has issued an 'Amber' wind warning and a 'Yellow' rain warning.