There is a way. When I was a civilian Army instructor at Redstone Arsenal, INS informed the Army that one of our NCOs had enlisted improperly and ordered the Army to discharge him. They were coming to arrest him to be deported. We all thought ... WTF? This is a serving US soldier.
It seems his father had brought his family to the US legally and they were all green card holders. The kids grew up in Los Angeles and the son graduated from high school there. But his dad then retired from his job and took the family back to Mexico, where his pension money would go much farther. The son considered himself an America, and as soon as he turned 18, he came to LA and enlisted. He'd been in the Army about 8 years when INS targeted him. He was a staff sergeant and had served in Desert Storm. But INS insisted that since he'd left the US before his 18th birthday, he'd lost his green card. Therefore, he had enlisted illegally. He was a career soldier with an American citizen wife and American born children, but INS wouldn't budge. Our then Congressman, Bud Cramer - an Army veteran and a Blue Dog Democrat, got a special bill rushed through Congress making the soldier a U.S. citizen. The bill was passed about two days before INS was coming to arrest him. You never saw such a happy family as when our Congressman handed him his citizenship papers. That deported wife needs to get a member of Congress to intercede and try to get her granted US citizenship. That's what it would take.
p.s. To make things even crazier, the guy had lost his Mexican citizenship by enlisting in the U.S. Army. He was no longer a Mexican citizen and Mexico didn't want him back.
Ah, I see that her Congressman has tried something. That's her only chance:
"Soto, a Democratic congressman, has sponsored a so-called private bill that would grant Juarez a visa if passed as part of a last-ditch, frequently unsuccessful recourse for immigrants who have exhausted other avenues."