I am not receiving any emails on my @me.com account. It says I need to buy more storage and I have. Still, I have 1K+ emails waiting for me somewhere out there. None of my devices are receiving the mail.
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See the articles If you can't receive email on your iPhone, iPad, or iPod touch - Apple Support
iCloud: About your @icloud.com, @me.com, and @mac.com email addresses - Apple Support
If you have trouble receiving email in Mail on iCloud.com - Apple Support
If iCloud Mail isn't working - Apple Support
Mention which device iPhone / Mac / iPad is used what is OS used in Mac and the device versions .
It also depends what large attachments have been sent to your mail account and they are not downloading , you have to check iCloud mail storage If your iCloud mailbox is full - Apple Support
Check available email storage in iCloud - Apple Support
This article is for who have sent mails to you Add an email attachment in Mail on iCloud.com - Apple Support
I am not receiving any emails on my @me.com account.
