"Quest objectives" refers to the specific tasks or goals that need to be accomplished in order to complete a mission or quest. It outlines what you need to do in order to progress in the game or story. Full definition
Once the main quest objective is complete, you are returned to town automatically. (nintendofuse.com)
These aren't every day quest objectives though, they are optional objectives that give you additional points at the end of each level if complete. (coin-drop.com)
Risen 3 wisely isn't so stingy with gold and gear as its predecessor — nor does it leave the locations of quest objectives open to guesswork — but its core combat does rely on the same dubious dance of parrying, heavy attacks, and slashes despite fancy new animations. (pcgamer.com)