Remove xbox live profile from hotmail email.

please note that if your email address is a Microsoft email (@live, @outlook, @hotmail, etc) it can't be removed from an Xbox account

If the email address on the account is a hotmail, live or outlook email and you remove it from the account after adding a new one, he's going to lose access to his email.

You can't separate the Xbox profile from the Microsoft account its' tied to. So don't be in a hurry to change out that email address.

unfortunately email accounts with Microsoft domains (Hotmail, Outlook, Live, etc) can't be unlinked from Xbox profiles

if the email address is a Microsoft email (eg; @Outlook, @Live, @Hotmail) then it is important that you do not remove it from the Xbox account after adding an alias and promoting that to the primary email.

removing a Microsoft email address from an Xbox account permanently deletes the email account and it will no longer be accessible along with anything else that uses that email (eg; Office365)

Recover the unwanted profile to your console using the Hotmail address, then change the Live ID for that profile to some other email address (also on the console). Then the Hotmail address will be available to use as the Live ID when promoting your
offline profile to Xbox Live.