Muthana, a 24-year-old Alabama woman, made a desperate plea to U.S. officials earlier this week to be allowed to return home.
This move comes after 16 states filed a separate lawsuit challenging the president's declaration.
The White House said the president was considering the step "to ensure we stop the national security and humanitarian crisis at the border."
The president spoke about being "stronger together" at a 2020 campaign rally in El Paso.
The New Jersey Democrat stuck to a message of love, hope and unity, but didn't shy away from thorny issues like race in his first visit to Iowa as a 2020 candidate.
The 49-year-old Democratic senator from New Jersey is the second African-American to enter the contest to take on Trump.
The heads of various branches of U.S. intelligence testified before Congress on Tuesday about the threats the country faces from foreign powers.
The move comes after Cohen delayed his House testimony due to what his attorney said were threats against his client's family from Trump and his lawyers.
“The United States condemns child marriages overseas, but we are not taking the steps to condemn it within our own borders,” one advocate said.