The shadow home secretary has faced a series of bruising interviews and has been ridiculed over a string of gaffes.
Ms Abbott was due to appear on BBC Radio Four’s Woman’s Hour at 9am with just two days of the General Election campaign to go.
But the radio show announced just minutes before Ms Abbott would not be appearing after being “taken ill”.
One source said: "Hopefully she's not got Brexit migraine again”.
Labour drafted in shadow foreign secretary Emily Thornberry to take Ms Abbott’s place for the discussion on policing and security.
A change in the #WHdebate line-up this morning: @HackneyAbbott taken ill. @UKLabour say finding a replacement
Woman’s Hour said in a statement on Twitter: “A change in the #WHdebate line-up this morning: @HackneyAbbott taken ill. @UKLabour say finding a replacement. Tune in at 9am.”
Labour said: "Diane Abbott is unable to take part in the Woman's Hour election phone in because of illness. Emily Thornberry has agreed to take part in her place."
The announcement prompted a mixed reaction online, with one Twitter user saying: "Hilarious. Damage control in action. What a shame. The country deserves to hear how inept this Labour leadership really is".
Another added: "After her performance on Sky talking about the Harris report, I can't say I'm surprised".
Others branded Ms Abbott's illness "very convenient".
Diane Abbott pulled out of Woman's Hour forcing Emily Thornberry to fill in
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BBC Woman's Hour confirmed Ms Abbott has been taken ill
Home Secretary Amber Rudd, Lib Dem Jo Swinson, SNP candidate Kirsty Black and Ukip MEP Margot Parker all appeared as scheduled.
Mr Corbyn was quizzed by presenter Emma Barnett over Labour's child care plans but he stumbled over the cost of his party's plan to offer free childcare to two-year-olds.
Shortly after Mr Corbyn's interview, it was confirmed Prime Minister Theresa May would not be appearing on the show.
Last night Ms Abbott endured an uncomfortable broadcast interview in which she appeared to struggle to answer questions about her home affairs brief.
Very convenient after another car crash Interview
— Oliver Allan (@oa81) June 6, 2017
After her performance on Sky talking about the Harris report, I can't say I'm surprised.
— John Chesworth (@JohnChesworth) June 6, 2017
Hilarious. Damage control in action. What a shame. The country deserves to hear how inept this Labour leadership really is.
— Alan Page (@beachcomberpage) June 6, 2017
Ms Abbott was questioned by Dermot Murnaghan on Sky News about a report last year by former Metropolitan Police Authority chairman Lord Harris on security in London.
But although she said she had read the document, she appeared unable to recall any of the specific recommendations it contained.
Asked about the report, Ms Abbott said it was time to "revisit" its findings, but when asked which part, she replied: "I just think it's about preparedness and resilience."
Pressed on whether she knew specifically what it recommended, she said: "I know he was talking about preparedness and resilience and I do think we need to act, not necessarily on every specific recommendation."
Asked again, she said: "I thought, because I know Toby Harris – he's a long-standing London politician – I thought it was an important review and we should act on it, obviously acting with stakeholders."
Mr Murnaghan then asked about Lord Harris's recommendations for the police forces in the capital.
Ms Abbott endured an uncomfortable broadcast interview on Sky News
Ms Abbott said: "You mean the idea they should work more closely together?" He replied: "No, he was suggesting they should amalgamate."
The shadow home secretary said it was an "interesting" idea but suggested that it would meet resistance.
Mr Murnaghan then asked her about the report's recommendations on greater "physical resilience". She said: "Yes, I think physical resilience is important."
However she again appeared unaware that it included putting up more barriers to protect people until Mr Murnaghan informed her.
Her latest encounter came after she was widely mocked by the Conservatives over an LBC radio interview last month in which she was unable to explain the costings for Labour's policing policy which she was launching.
Diane Abbott's most controversial quotes Fri, April 7, 2017
Outspoken Shadow Home Secretary, Diane Abbott holds strong opinions which does not always go down well.
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Abortion is an issue of conscience for the Labour party.
Ms Abbott, however, denied reports that Jeremy Corbyn and shadow chancellor John McDonnell wanted to keep her off air during the remaining stages of the election, fearing she had become a liability.
"I am here. I have just come from doing another media interview. I'm going on to do another media interview. There is no truth in the idea I'm not in the media," she said.
It is not the first time Ms Abbott has been taken ill at a crucial time.
She missed the historic Article 50 vote after being taken ill with a migraine.
Fellow Labour MP John Mann claimed she “gave herself a sick note” after she went home two hours before the vote took place despite taking part in a debate earlier in the day.