Organization trigger not working

I'm not sure if I'm just doing this wrong, but we have around 100 employees, and I'm trying to set a trigger for just our organization, but for whatever reason that condition stops the trigger from working. I have a trigger currently set up that works great, unless I choose to have it react just to our "organization". Am I not understanding organizations? I just need anyone from our internal gmail suite to get this response and not external clients.