How to run a windows docker container on linux host?
"windows docker": if that means docker for windows, running Windows container, then no.
You could run windows container on Linux the same way you are running Linux Container on windows: through a Virtual Machine emulating the target host.
Update Dec. 2016: Kubernetes 1.5 might offer a solution: see "Linux machine with docker deploy windows container"
About RDP, I see this extract from
https://msdn.microsoft.com/en-us/virtualization/windowscontainers/about/work_in_progress
Remote DesktopWindows Containers cannot be managed/interacted with through a RDP session in TP4.