The above error seems to indicate that it's the Configuration Server Plugin
is at fault.
A quick workaround is to delete .IntelliJIdea13\config\plugins\ideaServer
(effectively uninstalling the plugin) after which Cardea should start up.
Issue raised here : http://youtrack.jetbrains.com/issue/IDEA-113512
Update:
This issue is now fixed. The updated plugin is attached to the issue and can be installed manually. Have also uploaded the plugin zip here : http://bit.ly/18eUH62