The title "Torn" alludes to the original plot for this episode: the relationship between Kara and her fake daughter, Kacey. However, the producers felt Kara wasn't still able to face the time she spent in New Caprica with Leoben, Kacey's fake father, and this plot was dropped. Instead of that, they focused the episode in the secondary plot, which dealt with an illness which was infecting the Cylons. Anyway, the title "Torn" still references how the human collective felt after New Caprica, with a lot of conflicts between people who stayed under the Cylon occupation and people who ran away aboard the fleet's spaceships.
The trivia item below may give away important plot points.
Katee Sackhoff actually saws her hair off with a real knife on-screen. During the production of season 3, there was an ongoing argument between the producers and Sackhoff about when to cut Starbuck's hair. It was finally decided that she would do so on-screen within the context of the episode.