Dilemma (8)
(Other definitions for problem that I've seen before include "Puzzle - difficulty" , "Question or source of perplexity" , "Challenging question" , "Something that needs solving" , "Difficulty, poser" .)
'dilemma' is the definition.
(I know that dilemma can be written as quandary)
This is the entire clue.
(Other definitions for quandary that I've seen before include "Dilemma, a state of perplexity" , "State of uncertainty as to action to take" , "awkward situation" , "Predicament - dilemma - uncertainty" , "Problem" .)