WASHINGTON (AP) — Conservative Republicans claimed victory this week in the Supreme Court ruling on religious freedom and the White House’s acceptance that an immigration overhaul won’t happen this year. Today’s victories could haunt the GOP in two years’ time, as the party’s presidential nominee looks for much-needed support among women and Hispanics in the 2016 election.

With no movement on immigration legislation, a new crop of Republican presidential candidates will be asked to outline their own plans for resolving a vexing issue that is a top priority for many Hispanic voters and concerns business leaders who traditionally support the GOP. And Monday’s high court decision granting some companies religious exemptions from providing contraception coverage gives Democrats a peg to reopen a debate on women’s health that tripped up Republicans in the last election.