print MAIL "To: $Config{'recipient'}\n";
in the send_mail subroutine, and change it to
print MAIL "To: user\@domain.com\n";
(the backslash before the @ is vital or it'll break)
The script checks for a recipient field in the submitted form, so you'll have to put a dummy address (eg bitbucket@nospamplease.com) in your HTML.