WARFRAME USES UDP PORTS 4950 AND 4955(or whichever ports are set at the in-game options). Your router needs to let traffic on those ports through to your PC/Consoles. For your convenience these ports and your local IP address are shown in the network analysis dialog.

The instructions for forwarding ports on your router vary by manufacturer and model; please consult your router’s manufacturers support site or your internet service provider for details on how to correctly forward these ports to your PC/Console.