Relay access denied.
A "relay" is a mail server that acts as an open gateway, allowing anyone to connect to it and send mail through it ... to anyone. If the target isn't local, a relay will make a best effort to pass it on.
Obviously this is a tremendously bad idea.
Chances are that the mail server you are using is either locked down to local delivery only, or it wants you to authenticate first to prove that you are permitted to send mail through it.
You will need to contact your sysadmin to ask him or her about the error, and exactly what you need to do in order to send mail through it.