What does "dilemma" mean?

Dilemma: A state of things in which evils or obstacles present themselves on every side, and it is difficult to determine what course to pursue; a vexatious alternative or predicament; a difficult choice or position. A strong dilemma in a desperate case! To act with infamy, or quit the place. Swift. Horns of a dilemma, alternatives, each of which is equally difficult of encountering.