Downing Street said the messages about the veteran MP were "appalling and unacceptable".
Diane Abbott is suspended as a Labour MP after she said she did not regret "at all" a previous suspension.
MP Diane Abbott has been suspended by the Labour Party pending an investigation.
Labour appearing consistent is core to Abbott's second suspension, writes the BBC's Chris Mason.
The veteran Labour MP has told the BBC she stands by comments that led to a year-long suspension from the party.
More than a dozen protesters were arrested after occupying University of Oxford offices in May 2024.
The month-long festival is featuring about 250 writers and artists at venues across the county.
Labour's Diane Abbott and Conservative Sir Edward Leigh say they fear the bill will put the vulnerable at risk.
The Labour MP speaks to the BBC about the fallout after a Tory donor made racist comments about her.
