GoDaddy is problematic when trying to send emails.
I have had many difficulties with GoDaddy taking up to a day to relay the email message or the SMTP server they have in place being unavailable sometimes.
The Go Daddy smtp server to use is:
edit the Universal Email server behavior on the page to edit the email server settings, click the Envelope icon to edit the mail server settings and set the server address to:
and port to:
you will need to make sure that the from Address is a valid Email address for your go daddy domain.
also, I have run into issues sending email when the hosting account is on a Windows server, the mail() function only seams to work on linux hosted service plans with go daddy.