Managing personal Outlook.com account settings, security, and privacy
If you use the alias method by setting up an alias login email which you will use to log in, and not allowing the original email to be used to log in, nobody will be able to attempt to log in to the account which is getting attempts from hackers.
As long as you look after the new alias and don't post it anywhere where it can be harvested and you use Authenticator (vital) there won't be any future attempts.
Your original email address will still work, it will still get incoming mail, you don't need to (and should NOT) delete it.