More than 55 million women have access to birth control without co-payments because of the contraceptive coverage mandate, according to a study commissioned by the Obama administration. Under the new regulations, hundreds of thousands of women could lose birth control benefits they now receive at no cost under the Affordable Care Act.

One new rule offers an exemption to any employer or insurer that objects to covering contraceptive services “based on its sincerely held religious beliefs.”

Another regulation offers a new exemption to employers that have “moral convictions” against covering contraceptives.