Police have sealed off part of Wolverhampton City centre after rushing to the scene.
Officers received 15 calls for help, at around 11:43am this morning.
The ambulance service said they were dealing with a "serious incident" in the centre.
West Midlands Ambulance Service spokesman Murray MacGregor said: “On arrival, crews found a woman who had suffered very serious head injuries.
“Sadly, it quickly became apparent that there was nothing that could be done to save her and she was confirmed dead at the scene.”
Britain battles Storm Doris Thu, February 23, 2017
Storm Doris is causing disruption across the UK today
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Storm Doris causes havoc in Scotland
Sky News sources have claimed a woman died.
Witnesses at the scene have claimed it appears a shopfront, or part of it, had fallen off.
Nearby Queen Square has been closed off.
Police on scene after woman killed in bad weather
Wolverhampton city centre where a woman was killed by falling debris in Storm Doris
The debris which killed the woman is believed to have fallen from Starbucks
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Storm Doris is currently battering the UK with wind gusts up to 87mph.