"We have determined that our screening procedures were followed," she said late Tuesday.
Dunaj said that after her pat-down, she was asked to move along, as if she were responsible for holding up the line.
"I thought that was a little rude," she said.
The TSA statement said "the passenger has not contacted TSA about her screening experience."
"We work to make our screening procedures as minimally invasive as possible while providing the level of security that the American people want and deserve," Dankers said in the statement.
Travelers with disabilities can call a TSA hotline with questions about screening procedures.
Dunaj did not immediately return a call Tuesday evening seeking comment on the TSA's response.
She initially told her story on KOMO-TV.
She had no problems flying out of Detroit or returning to Seattle from Hawaii. She has been staying with a friend at suburban Bonney Lake in western Washington and planned to return to Michigan on Wednesday. She wasn't looking forward to departing from Sea-Tac, although the TSA contacted her through KOMO and offered to have a manager help her through security.
Her friend Mary Rowe said Tuesday evening the experience has "been exhausting for her."
"On the last trip of her life, she's been totally bombarded with everything," Rowe said.
Dunaj decided to make the trip after she was told she had three to four months to live. She doesn't regret it, despite the hassles.
"Hawaii was one of the most beautiful things I've ever seen," she said. "Number One on my bucket list."
She'll enter hospice back home Oct. 17.
Travelers with disabilities can call TSA Cares toll-free at 855-787-2227 for assistance.
Transportation Security Administration: http://www.tsa.gov