Hello, thank you for reaching out to Microsoft Q&A.
What is the exact error message you see when you try to sign in with your @hotmail.com account on your Mac?
Are you able to sign in to your account normally in a web browser?
Please try the following:
- Open an incognito/private browsing window in Safari on your Mac.
- Go to https://outlook.live.com/.
- Try signing in with your Microsoft account.
If you can sign in there, your Hotmail account itself is working correctly. In that case, please let me know exactly where you are trying to sign in on your Mac and the full error message you receive.