Ask her what her name is.

From Create Your Own Story

"Mina," she says. "That's all you need to know. Last name don't really matter, does it? Not now, anyway."

You introduce yourself, and she shrugs. "Don't really need to know your name."

• try to lighten the mood.
• ask her how long she's been here.
• try to get a better look at the woman.