It makes no sense for Godaddy to send you that email. The next time you log into your Godaddy account they can popup a message for you asking the same information.
Also, what “appears” to be a Godaddy link is probably a fake link and redirect to a website, often in Russia. If you went there, the web page would be designed in the Godaddy style and you would be giving them your personal and account details so they could hijack your site from you. Anyone who falls for such phishing games never bothers to look at the URL.
GoDaddy support will sometimes send you a survey. If you have recently had support. And they always ask permission when they do. And they always have your real name in the body of the text.
This is a phish.
But if you are still concerned, call GoDaddy. I have found their support team to be very courteous and the online wait very short.
If a message says it is “mandatory for all Paypal customers” or “mandatory for all eBay customers” or “mandatory for all <whoever>”, it’s almost certainly a phishing scheme. Real e-mails from places like that don’t say you have to do something, they politely ask you to do something by some date, and list what will happen if you do or don’t. And that’s if they even send e-mails at all, which definitely isn’t a given.