Suella Braverman
Rishi Sunak's flagship reform is supported by most voters.
The former home secretary said the prime minister needs to "change course".
Suella Braverman said she was "disappointed" at the move.
MPs from across the party have urged the PM to ditch the policy.
The prime minister says there is a "growing consensus" that Britain is descending into lawlessness.
The government department has seen four different home secretaries in five years.
The deputy prime minister said his former cabinet colleague did not need to apologise.
The former home secretary's latest outburst came in the wake of the Commons Gaza vote chaos.
Taxpayers are facing a £290m bill for the controversial policy.
The BBC presenter said the former home secretary was "a headline-grabber".