Remember, you will not get the welcome email until after you pay for your new hosting. Then it takes up to 1 hour for Shared Web and Reseller Hosting, and up to 48 hours for Dedicated Hosting.
If you still never received your welcome email, please check your spam and junk folders. If it is not there, make sure to whitelist welcome@hostgator.com before requesting it again.
If you need your welcome email resent, please contact HostGator via phone, live chat, or an email to sales@hostgator.com including your domain for which you want the welcome email.