Without checking and pulling off the top of my head, I don't think you
can access OWA anonymously except for public folder information.
Anonymous access can be configured with an OWA Front-End server, where the
front end accepts anonymous, and sends the request to the back-end server
who then authenticates the user (after first accepting the anonymous
connection.) It is really an un-recommended configuration as you can
imaging, but it is technically possible under that condition.