Quizzed about her role in Windrush controversy and Ms Rudd's resignation during a visit to Cumbria, the Prime Minister insisted the public want the government to deal with people who have no right to be in the country.
While the Conservative government has sought to treat the crisis as an isolated issue at the Home Office, with new South Asian-origin Home Minister Sajid Javid pledging a raft of measures to inject transparency into a review process into how the crisis came about, opposition parties have pinned the blame on the wider immigration policy environment.
Meanwhile, International Development Secretary Penny Mordaunt also becomes Minister for Women and Equalities. "She designed them, she implemented them when she was home secretary", said Rob Ford, a professor of politics at the University of Manchester.
Hastings and Rye MP Amber Rudd made her first speech from the back benches of Parliament for six years today (Wednesday, May 2).
Closing the debate for Labour, the shadow home office minister Afzal Khan served notice the party would keep up the pressure on the government, asking dozens of detailed questions on how those caught up in the crisis would receive help, and what reparations they could expect.
Labour has said the targets contributed to the Government's "hostile environment" for illegal immigrants which led to members of the Windrush generation who were entitled to be in the United Kingdom being wrongly threatened with deportation.
James Brokenshire, the former Northern Ireland secretary who stood down in January due to health reasons to have a tumour removed from his lung, has been moved into Javid's old job as Housing, Communities and Local Government secretary.
Facebook fires engineer for misusing data access privileges and stalking women
The accusations against the unnamed employee were lodged Sunday by Jackie Stokes , the founder of Spyglass Security . On Tuesday, Business Insider reported that Facebook fired one of its engineers who was accused of doing just that .
And she added: "They are British, they are part of us".
"I should have been aware of this, and I take full responsibility for the fact that I was not", she said in her resignation letter to May, conceding that she "inadvertently misled" MPs.
But moving Sajid Javid in, after Amber Rudd took herself out, does not end the prime minister's problems. She was forced to apologize for the Windrush scandal, named for a ship which carried immigrants from the Caribbean to Britain between the 1940s and the 1970s.
She telephoned May to tell her of her decision, but in a letter that officially marked it she wrote: "It is with great regret that I am resigning as home secretary".
But Mrs May attempted to separate the issue of removal targets from the Windrush scandal. Rudd's resignation may weaken Prime Minister May's government.
Rudd was the fifth person to quit the cabinet since the June 2017 snap general election, called by May but which cost the Conservatives their majority in parliament.
The furor began weeks ago when the Guardian newspaper reported that some people from the Caribbean who have lived in Britain for decades had been refused medical care or threatened with deportation because they couldn't produce paperwork proving their right to reside in the country.