I just setup the trail of office 365 to test. I can sent e-mail from the account. When I try to test sending an e-mail to the account I receive:
This is the mail system at host mail62-ch1-R.bigfish.com.
I'm sorry to have to inform you that your message could not be delivered to one or more recipients. It's attached below.
For further assistance, please send mail to postmaster.
If you do so, please include this problem report. You can delete your own text from the attached returned message.
The mail system
<stan@wyantfamily.onmicrosoft.com>: host
inboundsmtpprofile-224690-mail4.customer.frontbridge.com[157.56.232.220]
said: 550 5.7.1 Unable to relay (in reply to RCPT TO command)