Sentence examples for faces a dilemma from inspiring English sources

"faces a dilemma" is perfectly correct and usable in written English.
You can use it to describe a situation where someone is confronted with a difficult decision and must choose between two unfavorable options. For example, "Jill faces a dilemma: she can either take a job that pays well but clashes with her moral views, or take a job that aligns with her values but pays very little."