By default, the mail() function in PHP does not wor in goDaddy hosting environment, so the wordpress servers wont be able to send emails to users or as backup. There are a few pre-requisites while a webmaster tries to fix the SMTP setup for goDaddy hosting.
Do take notes that goDaddy SMTP will not allow attachment as ZIP, the only way to send website backup is to encrypt the attachment. The plugin “Online backup for wordpress” does a perfect job for it.