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A woman in her 30s was attacked after answering her door to a man wearing a high-visibility jacket in Herne Bay.
Police are investigating after the victim suffered a head injury following the incident in Wrentham Avenue, Greenhill.
Reports on social media suggest she was struck with a crow bar.
It happened just before 8.30pm on Tuesday and the woman was taken to hospital for treatment.
The suspect is described as a black man in his 30s, about 6ft tall with a medium build.
He was wearing dark jeans, a dark jumper, a beanie hat and a high-visibility jacket.
Detetive inspector Tracy Anstis said: "Incidents of this nature are rare and we are continuing to make inquiries to establish the circumstances behind the assault."
Anyone with information should call police on 01843 222289, quoting 11-1399.