Hi J,
When you said "I could receive an email when I sent it from my outlook account to both my hotmail and my outlook account. I just cannot receive emails", did you mean when you send emails from Outlook desktop client to both your hotmail account and Office 365 account, you can receive the emails in Outlook desktop client, but you cannot receive emails sent from other users?
Also, I suggest you check service health in your Office 365 portal to see if the services have been working well.
To check service health, please do the following steps:
Sin in Office 365 portal -> Click Admin -> Click Service Health under Support
Thanks,
Vivian Wang