The Bourne Identity

I'm now 50% into the novel. Robert Ludlum is a good writer. The story is complicating and he reveals each piece of information bit by bit to hold your attention. What I can't understand is how his hostage ends up falling in love with him after he rescues her from the mafias. They are now on the run together. Carlos and his men seem to be getting closer to him. I'm not sure if the woman will survive. I didn't watch the movie. But I know Bourne will as there are other books in the series. Let the chase continues...