Incoming emails not showing up

[famatstudent]

I created a webmail email with my domain on GoDaddy through the option in cPanel. I can send email freely, and the recipient receives them. However, when I sent an email from a Gmail to this webmail email, it does not show up in the webmail inbox. In fact, there is no delivery error either that is sent to the Gmail. Why is this happening?

Also, if there is a fix, would it also be possible to see all of the emails I have missed during the time I wasn't receiving emails? I think there could have been very important emails that I missed.

[famatstudent]

I just got this error from an email that was sent with the webmail email cc-ed:

The response was:
DNS Error: DNS type 'mx' lookup of famatdelegates.org responded with code NOERROR DNS type 'aaaa' lookup of famatdelegates-org.mail.protection.outlook.com. responded with code NXDOMAIN DNS type 'a' lookup of famatdelegates-org.mail.protection.outlook.com. responded with code NXDOMAIN

[SKaero]

It sounds like your DNS is setup incorrectly. If GoDaddy is providing the mail service I'd recommend you contact them for support they should be able to provide the DNS change you need to make in order for email to get to the account.