The most important development of this episode is probably that (SPOILER)Jack and Claire are half-siblings. Proof:

In Season 1 Episode "Raised by Another", the psychic that Claire visits mentions 'daddy abandonment, implying that Claire's dad ran off on her.

Christian Shepard goes to the woman's house and mentions something about (I don't have it recorded) "I pay the mortgage on this house, I want to see my daughter."

He chooses to go to Australia in the first place after losing his relationship with his son.

The woman he spoke to looked a LOT like Claire. In fact, I thought it was Claire from far away.

It's been proven time and time again that everyone is connected. Christian being Claire's father would just be another one.