2 factor authentication emails from websites will not go to my hotmail.

Since rules and forwarding are already checked, focus on account recovery and security info first:

1. Run a full malware scan on the PC before making more account changes.
   • In Windows Security, open Virus and threat protection.
   • Select Scan options > Full scan > Scan now.
   • This matters because if the device is still compromised, new passwords or codes can be intercepted.
2. Review Outlook.com account settings that are commonly changed after a hack.
   • Check connected accounts, forwarding, and automatic replies.
   • Also review aliases and sign-in methods under account security, and remove anything unfamiliar.
   • Remove unrecognized devices and use Sign out everywhere if available.
3. Verify that the security info used for sign-in is correct.
   • Go to the Security page and select Update info.
   • Confirm the email address or phone number shown for verification is actually the correct one.
   • If a method no longer works, choose a method that does work, or choose I don't have any of these to replace the security info.
4. Check why messages may not be arriving.
   • Verification emails can go only to the primary alias or another email added as a sign-in verification method.
   • Check Junk mail for messages from @accountprotection.microsoft.com and mark that sender as trusted.
   • Avoid repeated code requests, because unusual activity or too many requests can temporarily block code delivery.
   • If the account was flagged for unusual activity or locked, verification messages might not go through until that issue is resolved.
5. If the alternate verification email is another Microsoft account, use two private browsing windows.
   • Keep the first sign-in window open.
   • Open a second InPrivate/private window and sign in to the alternate mailbox there to retrieve the code.
   • This avoids being signed out of the first account while trying to read the code.
6. If the account is still blocked or unusual activity is suspected, use the sign-in helper or account recovery flow.
   • Reset/recover the account at Recover your account.
   • If Outlook.com is temporarily blocked, start with Sign-in Helper.
   • If recovery does not work, use Contact support.
7. If the mailbox was hacked, review mailbox behavior again on a computer.
   • Recheck Rules, Forwarding, and IMAP.
   • Check aliases, contact info, and app passwords, and remove anything unfamiliar.

Important: support agents cannot send verification codes or change account details for security reasons.

References:

• How to recover a hacked or compromised Microsoft account
• Troubleshoot Microsoft verification code issues
• Unblock my Outlook.com account
• My username and password have stopped working
• Can I trust email from the Microsoft account team?
• my email has been hacked and I cannot receive emails - Microsoft Q&A