1to be discouraged; to lose heart; to give up courage in the face of difficulty
一度の失敗でめげずに、何度も挑戦した。
Not discouraged by one failure, I tried again and again.
彼は厳しい指導にめげて辞めてしまった。
He lost heart because of the harsh coaching and quit.
そんなことでめげないで、まずは一歩踏み出そう。
Don't get discouraged by something like that; take the first step.