My Outlook plugin is no longer a plugin- it just opens the website inside of outlook where the plugin used to be. I can browse your site or even get off to other sites, inside of Outlook. There is NO functionality from Outlook this way.
Outlook 2013 on Win 8.
Please try to log out of the app through the Outlook plugin, then close Outlook, clear Internet Explorer's cache and cookies (the plugin uses IE to connect) and then re-open Outlook and it should redirect you to the correct "mini" version of Todoist.
If it won't, try to use the "Logout Todoist" button in the navigation bar at the top of Outlook (add-ins tab) and let me know if this helps.