Oh yes, I’m sure she did leave laughing.
Check it out:

Health and Human Services Secretary Kathleen Sebelius said goodbye to the White House on Friday, smiling and laughing during the press conference announcing her departure.

President Obama praised Sebelius for her tireless efforts to promote Obamacare and “turning the corner” when the healthcare.gov website failed.

“Of course, what Kathleen will go down in history for is serving as the secretary of Health and Human Services when the United States of America finally declared that quality affordable health care is not a privilege but it is a right for every single citizen of these United States of America.”

Administration staffers gave Sebelius a standing ovation as she took took the podium with Obama during a Rose Garden ceremony at the White House.