My Hunter pledged to Furure War Cult at the start of this second week, but he was not given the FWC Faction quest.
The first week he pledged to Dead Orbit, but also was not given a Quest. I assumed because my Titan was doing that one, that it was one faction quest per account (per faction)...so waited for the second week to switch allegience...but still no Quest.
This hunter ws affected by the BUG where my Titan Received the hunter Emote package (Emote/Shader but not the Class item). This was resolved in the 2.0.2 patch, but am wondering if the lack of Faction Quest is related.