If you don’t want to connect your others account in Microsoft Office 365 but there is another feature present in Microsoft Office 365 which allows you to receive emails without connecting them in Office365.
Forwarding email is that feature which will help you to receive you emails (which have sent on your Office 365 email address).
1- Log into your Microsoft Office 365 account.
2- After signing in, select Options which is present under Outlook Category.
3- After selecting, Options section will be open in new tab window and now select Account from the left sidebar.
4- Now open the Connected Accounts tab which is present on the right side.
5- After opening the tab, enter the email address to which you want to forward your emails and click on the ‘Start Forwarding’.
6- Now click on ‘Save’ to save all the settings which have done.
After following all of the above mentioned steps you can easily enable forwarding emails to other email addresses in Microsoft Office 365.