The council warned that anyone close enough to feel sea spray may already be in a perilous position.
People were also told never to turn their backs on the water or venture near rough seas to take photographs.
The council reminded the public to check weather forecasts and tide tables before visiting the coast, especially after storms, when hazardous wave conditions can linger.
Hampshire Police said in a statement: “At 11.17am yesterday (Monday 26 October), our Isle of Wight Ambulance Service partners informed us of a concern for welfare of a woman in the water at Lake. We attended the scene to assist our IOWAS and HM Coastguard partners.
“The woman, aged in her 50s, was brought out of the water. Sadly, despite the very best efforts of all emergency services in attendance, she was pronounced deceased at the scene. Her next of kin have been updated and a file will now be prepared for the coroner.”
