Broadcaster Katie Hopkins has been refused permission to have his libel fight heard in the Court of Appeal.
Ms. Hopkins has been pursued with success by the food blogger and activist Jack Monroe in March of last year as a result of two tweets in which the broadcaster has been accused of vandalising a war memorial.
At the time, Mr justice Warby said to Mrs. Hopkins, an appeal would not have “a real prospect of success”, from his point of view.
It was alleged that he had made mistakes in how it has applied the law of defamation.
Mr justice Warby, sitting in front of the High Court, said the tweets in May 2015 has caused “Ms. Monroe” real and substantial “distress” and that she was entitled to “a reasonable and fair compensation”.
Mrs. Hopkins was ordered to give him Â£24,000 in damages, and to pay Â£107 000 people to the activist court costs within 28 days – although the final costs bill is likely to be higher.
Following the initial judgment, Ms. Hopkins argued that the libel and defamation laws should be applied differently in cases relating to social media.
In an order dated 5 January, Lady Justice Sharp in the Court of Appeal has said: “None of the grounds raised had a real prospect of success… the application for leave to appeal is therefore refused”.
Ms. Hopkins, who moved up to the BBC’s The Apprentice, separated from the Mail Online in November. She had worked as a columnist for two years.