WASHINGTON — In another setback for President Obama’s health care initiative, the administration has delayed until 2015 a significant consumer protection in the law that limits how much people may have to spend on their own health care.

The limit on out-of-pocket costs, including deductibles and co-payments, was not supposed to exceed $6,350 for an individual and $12,700 for a family. But under a little-noticed ruling, federal officials have granted a one-year grace period to some insurers, allowing them to set higher limits, or no limit at all on some costs, in 2014.

The grace period has been outlined on the Labor Department’s Web site since February, but was obscured in a maze of legal and bureaucratic language that went largely unnoticed. When asked in recent days about the language — which appeared as an answer to one of 137 “frequently asked questions about Affordable Care Act implementation” — department officials confirmed the policy.

The discovery is likely to fuel continuing Republican efforts this fall to discredit the president’s health care law.