The death of sleep - Anne McCaffrey

Like every other citizen of the Federation of Sentient Planets, Lunzie Mespil know the so-called 'planet pirates' were capable of terrible things. But - also like every other citizen of the Federation - she never in her heart of hearts believed that anything would happen to her.

When pirates attack the space liner on which she is a passenger, Lunzie does not panic. Keeping her head, she makes it to a lifeboat and decides not to worry. She will spend a month or two in cryogenic statis awaiting inevitable resuce, and then proceed with her life. Only it might not be a month or two...