This is a quick update since this thread is still open.
Don't use SMTP plugins with GoDaddy hosted websites.
YOU CANNOT SEND EMAIL THROUGH ANY SMTP PORT FROM A GODADDY HOSTED WEBSITE.
GoDaddy has ports 25, 465 & 587 blocked and will not open them. You must send admin messages and form email directly to a GoDaddy hosted email account or forwarder.
More details and a SIMPLE SOLUTION in this thread:
https://wordpress.org/support/topic/smtp-connect-failed?replies=24#post-6758871