The definition of undaunted is unshaken, unintimidated or unaffected because of fear.
If you walk right up to the biggest bully in the room and challenge him to a fight, this is an example of a time when you are undaunted.
not daunted; not faltering or hesitating out of fear or discouragement; undismayed; intrepid
Not discouraged or disheartened; resolutely courageous. See Synonyms at brave.