noun
one's way ahead; one's path forward
Refers to the road or direction one is heading, often with a nuance of what lies ahead or the journey itself.
行く手に大きな山が見えた。
A large mountain came into view ahead on our path.
彼は行く手を阻む障害を乗り越えた。
He overcame the obstacles blocking his way.
前途 is more abstract, often referring to one's future prospects or the road ahead in a metaphorical sense, while 行く手 is more concrete, focusing on the physical path or direction one is traveling.
Compound of 行く (iku/yuku, 'to go') and 手 (te, 'hand; direction'), literally 'the hand/direction one goes'. The reading ゆくて is a slightly formal or literary variant of いくて.