I went back over the Ep 12 sides, and realized we forgot about the judge. So Luke (or at least, his lawyer) must have already gotten the letter before Lorelai heads to the hospital. Where does that fit in, though?
Good point,
cate. Since MA said 7.13 takes place almost entirely at the hospital, the news about Richard must happen very near the end of 7.12. Maybe the court hearing at which the judge rules in Luke's favor is earlier in the ep, and towards the end Luke gets in touch with Lorelai somehow to tell her the good news and thank her for her help.
It's hard to imagine that he would go to the CS (too much chance of running into NNS). Maybe he finds her at the DI. Or if she has been babysitting Davy, maybe he sees her as she's walking home afterwards and runs out to tell her. They talk, everyone's happy, cue her cell ringing with news of Richard's illness. Fade out on Lorelai's stricken face.