Her face when she figures out that Roslin was telling the truth about Adama lying about knowing where Earth was is this crazy mix of rueful and angry and stubborn. What do you think would have happened if he'd told her the truth and leveled with her? I think Kara would've understood his desire to give people something to hope for. But what about her own personal beliefs in the scripture and the parable of the 13th tribe/the "myth" of Earth? Would those still have sent her back searching for that arrow?