Microsoft link with deleted email and changing email

Here's how to change your email address
https://support.xbox.com/en-GB/my-a...nt/change-email-sign-in-for-microsoft-account

You can not change email address if it is linked to a Microsoft email account, @hotmail, @live, @outlook as doing so will delete the email account and all other Microsoft services linked to it.

Then, as an alternative, can I change the email that is linked to the information? Or somehow link two mails to the account?

You can
change the email associated to that gamertag, but you can never delete the old email or all information is gonna be deleted. This is know as "alias" this means that you create another alias (email address) to the same Microsoft Account.

This link will help guide you through the steps. Just be aware that if it is a Microsoft email (@hotmail, @live,@, outlook) then deleting it, will delete all emails and access to other Microsoft products and services https://support.xbox.com/en-US/my-a...nt/change-email-sign-in-for-microsoft-account

I don't want to link an email to my current account. Is there no way to just change the email for my Xbox account without deleting my current Microsoft account?

You can create a new account or you can go to https://beta.support.xbox.com/help/Account-Profile/manage-account/change-email-sign-in-for-microsoft-account to change the email to it. I hope this helps!

if the email linked to the Xbox account is a Microsoft email (Outlook, Live, Hotmail) then it can't be removed from the account as that would permanently delete that MS email account.