GoDaddy is notoriously problematic with getting php mail() funtions to work
somethings to check:
make sure that they have enabled sendmail for your account.
in the forgot email server behavior, make sure to use a valid email address for your go daddy domain as the from address
set the smtp server and port to:
smtpout.secureserver.net 25
in all honesty, I would recommend a different hosting platform like 1 and 1:
1 and 1