Part of the administration’s strategy has been to ramp up border and workplace enforcement to attract Republican votes for the overhaul. The vote on Saturday made it clear that strategy has not succeeded so far.

Mr. Obama will now face growing pressure from immigrant and Latino groups to temper the crackdown and perhaps find ways to use executive powers to bring some illegal immigrants out of the shadows. Latino voters turned out in strength for the Democrats in the midterm elections, arguably saving their majority in the Senate…

The administration’s efforts to manage its policy dilemma played out this week. Speaking on Friday before the vote, John Morton, the head of Immigration and Customs Enforcement, said the agency would continue the brisk pace of deportations, focusing on immigrants convicted of crimes. On the same day, the agency released from detention an 18-year-old Guatemalan student from Ohio, Bernard Pastor, granting him a one-year reprieve from deportation to continue his education…

“They did not defeat us, they ignited our fire,” said Alina Cortes, a 19-year-old Mexican-born immigrant from Texas who lacks legal status. A self-described conservative Republican, she campaigned for the student bill, saying she hoped to join the Marine Corps.