They both had something to hide

Sara Bertelli, famous pop singer, had been on the verge of emotional collapse. So, as Sara Carmichael, she retreated to an isolated cabin on the shores of Lake Michigan to rethink her life.

When she first met Greg Pierson, Sara was afraid that he would recognize her. But Greg was ever more wary than Sara was of the outside world. She empathized with his strange mixture of politeness and bitterness, of cynicism and real concern

Right from the start Sara ignored Greg's "no trespassing" signals in fact, she found them enticing.