if you abandon a daily quest, you cant accept it again and you also dont get a new one on the next day. you need to leave the order, then you are able to get a new quest. you should have same quest of the day available if you abandon. if its next day it should be a new instead.
Fixed. Abandoning an order's daily quest now offers you the same quest again straight away, and after the daily reset (09:00) you get a new one. Characters already stuck without a daily get one again at their next login, no need to leave the order. Live after the next server update.