But this could be dangerous if you are using .fredde.me for mail handling as well. Other records may be ignored when there is a CNAME on the root. But as long as the client does not know where to connect to every attemt will fail with a DNS error.
If a CNAME RR is present at a node, no other data should be
present; this ensures that the data for a canonical name and its aliases
cannot be different. This rule also insures that a cached CNAME can be
used without checking with an authoritative server for other RR types.
If you need to capture also additional pages outside of the homepage you need to add a * to the end of the matched string and a /$1 at the end of the redirect URL.