All fun and games until they throw her in a cage. I hate to break it to you, when ICE is kidnapping people, they aren't checking your documents first. They're just disappearing you to the back of the van. If they happen to get a few citizens too, well that's just collateral damage.
One can hope it would result in a massive lawsuit, public outrage, and change. My bet is that it doesn't even make headlines, Faux News slanders the woman for being an "immigrant sympathizer" and the Trump administration tries to strip her citizenship for aiding and abetting enemies of the state (you know Jesus who pays his taxes and picks fruit seasonally in Arizona).