“She should be out of a job,” Sen. Thom Tillis said. “I think it probably is time for her to step down,” said Sen. Lisa Murkowski.

Tillis' remark adds to growing intra-Republican pushback on the Trump administration over immigration enforcement.

Frustration with Homeland Security Secretary Kristi Noem is mounting among House Republicans over her response to the fatal shooting of Alex Pretti. Why it matters: They soon could soon be forced to go on the record about whether they still support Noem if Democrats move to force a vote on impeachment.

I think that what she’s done in Minnesota should be disqualifying,” Tillis (R-NC) told reporters on Capitol Hill.

What started as sharp criticism of the Homeland Security secretary, and a longshot move by Democratic lawmakers signing onto impeachment legislation in the Republican-controlled House, has morphed into an inflection point for Noem, who has been the high-profile face of the Trump administration’s immigration enforcement regime.

President Trump said she won't be fired but Noem is in hot water with bipartisan criticism

Kristi Noem, the former governor of South Dakota, has been the head of DHS in part because she asked for the job, and in part because she is, in Trump’s opinion, “good on TV.” And her second-in-command is Trump’s former campaign manager Corey Lewandowski.

A spending agreement under consideration in the Senate would temporarily fund the Department of Homeland Security while lawmakers negotiate provisions to rein in federal immigration agents.

House Republicans slam Democratic push to impeach DHS Secretary Kristi Noem as "partisan stunt," citing lack of unified support from Democratic caucus.