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.
A large mountain came into view ahead on our path.
He overcame the obstacles blocking his way.
Standard kanji spelling; the reading ゆくて is the only one given.
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.