Same issue here.
Outlook application has 2 hotmail.com (outlook.com) email accounts. In the last day I can no longer send emails, the application simply closes and (sometimes) restarts.
Created a new mail profile with a single hotmail.com account. Problem persists.
Ran online repair of Office suite. Problem persists.
Incoming email is fine.
Only affects sending/replying and also when I switch accounts in the "from" field when composing an email.
Sending and receiving from mobile app or outlook.com website is working fine.
There are at least 3 reports on this forum in the last day of the same issue.
Outlook 2311 (Build 17029.20028)
Windows 10 22H2 (OS Build 19045.3693)