Labour reinstated Jeremy Corbyn as a member after he was suspended from the party last month. The former Labour leader was punished for comments in which he said the scale of anti-Semitism in the party was “overstated” following a damning report by the Equalities and Human Rights Commission.
Current leader Sir Keir Starmer insisted that Mr Corbyn’s reaction to the report was “wrong” and sacked his predecessor.
But the party’s ruling NEC group overturned that decision.
A ruling on whether to restore the Labour whip to Mr Corbyn is reportedly yet to be made.
This would allow the former leader to sit again as one of Labour’s MPs.
She called the move “ridiculous” and accused the party of having a “broken system”.
Ms Hodge wrote: “This is a broken outcome from a broken system.
“A factional, opaque and dysfunctional complaints process could never reach a fair conclusion.
“This is exactly why the EHRC instructed Labour to setup an independent process!”
She added: “I simply cannot comprehend why it is acceptable for Corbyn to be a Labour MP if he thinks antisemitism is exaggerated and a political attack, refuses to apologise, never takes responsibility for his actions & rejects the findings of the EHRC report. Ridiculous.”
A panel of members from Labour’s National Executive Committee met on Tuesday to make their decision on Mr Corbyn.
After they readmitted Mr Corbyn, Sir Keir also took to Twitter in a fiery attack on the former leader and the NEC.
He said: “I know that this has been another painful day for the Jewish community and those Labour members who have fought so hard to tackle antisemitism.
“I know the hurt that has been caused and the trauma people have felt.
“Jeremy Corbyn’s statement in response to the EHRC report was wrong and completely distracted from a report that identified unlawful conduct in our tackling of racism within the Labour Party. This should shame us all.”
The Labour leader insisted that his first priority is still to tackle antisemitism in the party.
He added: “I know we have a long way to go, but I am absolutely resolute in my determination to make the Labour Party a safe place for Jewish people.
“I stand by the commitments I made last month to accept the findings and the recommendations of the EHRC’s report in full.
“That must mean establishing an independent complaints process as soon as possible in the New Year.”
Ex-Labour MP Joan Ryan, who defected to Change UK last year, warned the trust of the Jewish community remained at stake.
In an interview with Times Radio, she urged Mr Starmer not to restore the whip to his predecessor.
She said: “Unless he acts today, he will never regain the Jewish community’s trust in the system he has set up.”
Asked is she believed Mr Corbyn was an anti-Semite, Ms Ryan responded: “Absolutely.”
She added: “There’s no place for him in the Labour Party.
“He is the most divisive figure. For him to say we must now come together is deeply offensive.”
Sky News reported that a group of Labour MPs had warned Sir Keir they may resign in Mr Corbyn has the whip restored.
They were said to be “furious and gutted” over the decision to allow him back into the party.
The lawmakers reportedly felt the lifting of Mr Corbyn’s suspension undermines the work done in recent months to rebuild bridges with the UK’s Jewish community.
Mr Corbyn said in a statement that it was not his intention to imply antisemitism should be tolerated and he regretted the “pain” caused.
He added: “To be clear, concerns about anti-Semitism are neither ‘exaggerated’ nor ‘overstated’.
“The point I wished to make was that the vast majority of Labour Party members were and remain committed anti-racists deeply opposed to anti-Semitism.”
Mr Corbyn is currently an independent MP and it is not known whether he will face any further sanctions.