It’s not possible to delete your account. The best thing you can do is try customer support found here: https://faq.orbitz.com/ – and submit your question to the customer support team.
But it remains doubtful what will happen to your account.
Please note that AccountKiller.com is not associated with the business listed on this page. AccountKiller provides easy-to-understand instructions and guides on how to cancel charges and relationships from the list of businesses on our site, we have no affiliation with these businesses.