WASHINGTON (AP) — In a one-two punch elating religious conservatives, President Donald Trump's administration is allowing more employers to opt out of no-cost birth control for workers and issuing sweeping religious-freedom directions that could override many anti-discrimination protections for LGBT people and others.

At a time when Trump finds himself embattled on many fronts, the two directives — issued almost simultaneously on Friday — demonstrated the president's eagerness to retain the loyalty of social conservatives who make up a key part of his base. Leaders of that constituency were ex...