Now that they're alone, Ygritte tells Snow that she can tell he's never killed a woman. She offers to take him to Mance to join the free people, but he pokes her in the throat with the tip of his sword. She rolls over to expose her neck on the stone. She asks, "Will you burn me? After?" Snow: "Can't. Someone might see the smoke." She says, "Strike hard and true, Jon Snow. Or I'll come back and haunt ya." And then she lies there, stoically awaiting her death.
But he doesn't do it. She tells him to hurry up. So do I! Come on, man! Make with the choppy-choppy! Nope. He eventually swings his sword, but he hits the stone by her head. She kicks him in the leg and runs off. He chases after her in a very scenic sequence that looks very cold. She leaps crevasses and he slides down a slope and tackles her. His knife is to her throat. She says he obviously can't kill her, so it's not much of a threat. Yeah, if you don't kill a woman within five minutes of meeting her, she loses all respect for you. That's one of those Pickup Artist rules, like negging and dressing like an idiot. She says that the sun's going down and his friends are nowhere close. She dares him to call for them. Loudly. He looks around.