The 46-year-old from Cheltenham went overboard sometime before midnight on Saturday night.
She then spent 10 hours floating at sea - later crediting her yoga training with keeping her fit enough to survive.
After the cruise ship had circled back around, the Croatian coastguard joined the search and miraculously plucked her from the sea about a mile from where she jumped.
An Italian source said: "Officers spoke with the woman's partner on the ship when it arrived in Venice.
"We have seen the footage and we are happy there was no foul play involved. The partner was released and no one has been placed under official investigation.
"The footage has been viewed and you can clearly see she was there on her own when she fell. She was not pushed. The theory we are working on is that she most likely jumped.
"A file is being prepared for the local prosecutor who will decide what to do but at the moment it looks like an individual lone action.
After her rescue, Kay had told Croatian media: "I fell off the back of the Norwegian Star and I was in the water for about 10 hours. These wonderful guys rescued me."
But today multiple passengers came forward to reveal she had been arguing with her partner earlier that evening.
American Bern Love, who was on the Norwegian Star, claimed: “She didn’t fall, she jumped after rowing with her boyfriend.
“There is no way she could have fallen — that railing at the back of the ship is almost six feet high. If you want to go over you have to climb it and that’s what she must have done.
“It’s designed to stop people falling. She had to have jumped.
“People were saying she had been spotted alone and crying at the back of the ship just before it happened. I’m glad she is fine but to say she fell is not true.”
Another British passenger, who asked not to be named, said: “No way did she fall. She jumped after drinking and quarrelling with her partner.
“The crew checked the CCTV footage at the back of the boat and said she stripped down to her underwear before jumping.
She was found at around 9.30am morning local time around a mile from where she vanished and was lifted to safety.
Wearing just denim shorts and a top, Kay plucked from the 20C water by coastguards and taken on board a rescue boat.
Asked her name and where she was from by reporters, she replied: "Kay... from England".
She was then treated by medics and taken to hospital in Pula where she was kept for monitoring by doctors, before being released by doctors.
The Sun
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