The helpdesk will not have any information when you used the desktop version. You will receive an email confirmation from the IRS. What you can do is go to the IRS Where's My Refund site. There will be information there about your efile after 24 hours. If it does not show up on the site, then you ca e-file again.
The helpdesk does not have an email address to contact them, but you can request help from this TurboTax contact page.
