The correct option is B dispirited
The word 'inspired' refers to an extraordinary quality, as if arising from some external creative impulse.
Option A, overwhelmed indicates having a strong emotional effect on something.
Option B, dispirited refers to having lost enthusiasm and hope.
Option C, disillusioned causing someone to realize that the belief they hold is false.
Option D, sceptical refers to having doubts or reservations.
Thus, according to the meaning, the word 'dispirited' is the opposite of the word 'inspired'.