It takes approximately 10 minutes for the previous quest to be finished and the in game mail to arrive from The Duality (09/19/'13 - the mail arrives immediately after you zone)
NOTE: If you are a Heroic character (i.e. you paid to be immediately jumped to 90 or 95) then after Unexpected Consequences you need to do the quest called Shades of Drinal: TRIAL of Everafter before you do the main quest on this page for Shores of Everafter.
To start Shades of Drinal: Trial of Everafter do the following:
Go to the Feerrott spires ( -92, 13, 182 ) /waypoint -92, 13, 182.
Use the portal to the The Eidolon Jungle and speak with Lady Liae Croae (if Good) or Lord Valkiss Ssi'sh (if Evil) around ( -46, 15, 199 ) /waypoint -46, 15, 199.
When they are killed return to your respective NPC for the next step which will lead you to the main quest on this page called Trials of Drinal: Shores of Everafter which is described below. Heroic characters skip steps 1 and 2 and proceed directly to step 3.