She absolutely is allowed to enroll in Obamacare according to healthcare.gov, the only thing she isn’t eligible for is subsidies.

Via WaPo:

Rep. Cory Gardner (R-Colo.) told Sebelius that he and his family buy their health insurance on the private market, and like other people in his boat, got a notice saying his plan was being discontinued this year. He said he chose to reject his congressional insurance to be more like people in his district.

“Why aren’t you losing your insurance?” he demanded of Sebelius. “Why won’t you go into this exchange?”

Sebelius responded that she is not eligible, because people who get affordable coverage through their employer may not apply through the marketplace.

“I would urge you to be like the American people,” he said, before asking for a waiver from the health-care law for his Colorado district.