Question: does rory go back to yale in season 6

Answer: Yes, The season begins at the moment the fifth season ended, with Lorelai having just proposed to Luke. Luke accepts but they decide to delay the wedding until after she has reconciled with Rory. During the estrangement, Lorelai buys a dog, Paul Anka. Rory is given 300 hours community service for the boat theft and Emily gets her a job in the office at the DAR. However, Rory begins to resent Emily's attempts to turn her into her and, after five months apart, moves back home and returns to Yale.