"Hey man, no problem. Is everything okay? I know I don't really know either of you, but hey, if you need someone to make a few more phone calls to total strangers, I'm your girl."
Lorelai's first instinct had been to just go wherever-it-was and pick the girl up. As a mom, she got the whole 'stranger-danger' thing, but she'd been young once and people had been there to help her out.