HHS Secretary Sylvia Matthews Burwell holds a press conference on Open EnrollmentBy Yasmeen Abutaleb NEW YORK (Reuters) – The Obama administration has no way to repair the damage that would result from a Supreme Court decision against Obamacare that would make health care unaffordable for millions of Americans, a top health adviser said on Tuesday. The Supreme Court is expected to rule by the end of June on whether residents in at least 34 U.S. states are eligible for federal tax subsidies to help them buy health coverage under President Barack Obama's Affordable Care Act. Conservative plaintiffs argue that the federal funds cannot pay for insurance in states that did not create their own health insurance exchanges and instead rely on the administration's HealthCare.gov website.