"перепутье" is somewhat archaic word meaning a crossroad, usually with many directions. This idiom means to face multiple choices, typically uneasy, but important, when a choice of a new direction is going to define your future.

Быть, оказаться на перепутье/распутье - быть, оказаться в состоянии сомнения, колебаний, в нерешительности перед выбором чего-либо. To be undecided, not know how to act at a time when one must make a decision: - be in a quandary; - [in refer, to a crucial decision only] be at a (the) crossroads.

Перепутье/распутье - you can hardly hear people say that nowadays, but if you do hear it means to be hesitant and not certain, in doubt and confusion about what to do and what to choose.