Although I've seen a couple of GoDaddy-related issues posted, I have not seen one similar to this. The site is using the most current version of WP (3.1.2), and Gravity Forms 1.5.2, and the client has a number of other sites with GoDaddy right now so moving is not really an option we want to jump to yet.
Specifically, the issue is that emails are being sent to the user, but not the administrator. The information is being written to the database as normal.
Example 1: Set admin email to an email address off domain (not a free email service, but my domain account). Result: The user (an @yahoo.com address) does get the autoresponse email, but the admin account does not get the email.
Example 2: Set admin email to an email address @yahoo.com. Result: The user (my personal domain email) gets the email and everything works.
What the heck?
I guess my first step would be to try WP-SMTP plug in, but GoDaddy is NOT hosting the email for the client. It is elsewhere on an Exchange server.