Coroner Fiona Wilcox said the hoax call was "clearly pressing on her mind" but she had had "appropriate" support.
The inquest at the Royal Courts of Justice in London was earlier told that the 46-year-old mother of two had sent distressed emails addressed to her colleagues insisting "it's all my fault".
Saldanha, originally from Mangalore in Karnataka, was found dead in the nursing accommodation of King Edward VII hospital days after staff were tricked into revealing details of Kate's pregnancy to two Australian radio DJs posing as Queen Elizabeth II and Prince Charles back in December 2012.
"I am terribly sorry for transferring the call to you. At that moment, in the time, with that voice, I couldn't even think of anything else," she wrote.
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"It's all my fault and I feel very bad about this and getting you involved. Please accept my apologies. If there was anything I could do to mend it, I would do it but it's all in their hands. I am very upset and don't know what to do, things are all going in the wrong direction for me at the moment," she added.
Saldanha told other colleagues she had believed the prank was a genuine call from the Queen.
The Duchess was being treated for acute morning sickness when DJs Melissa Greig and Michael Christian called the hospital pretending to be the Queen.
The inquest also heard how Saldanha had shown no previous signs of mental illness or depression. Her husband, Benedict Barboza, told the court his wife had never given him any cause for concern and said her death came as a "complete shock".