We finally meet Richard’s mother Lorelai Gilmore (Marion Ross), who he calls Trix as her special pet name. It seems to be a Gilmore tradition to have a nickname that’s unrelated to your real name, as neither Rory nor Trix are actually short for Lorelai. Trix is a stereotypical scary old lady who frightens even Lorelai into good behaviour, and turns Emily to jelly.
It is notable that Trix and Richard are very close, just like Lorelai and Rory, while Trix despises Emily. Trix treats Emily the same way Emily treats Lorelai, which doesn’t quite make sense unless Emily’s mother died when she was fairly young, and Trix is her main “mother type” relationship.
If the family pattern continues through to the next generation, it suggests that Lorelai will dislike the man that Rory marries and constantly give him a hard time for not being good enough for her daughter. This doesn’t seem unlikely, as Lorelai was never a huge fan of any of Rory’s boyfriends.
Furthermore, it suggests that Rory will have a distant relationship with her child, as Richard does with Lorelai. Again, this isn’t implausible, as Rory has a colder personality than her mother, and doesn’t seem to really like children. If Rory’s husband is as hard on the child as Emily is on Lorelai, then we can expect another rebellious teenager to emerge – that only Lorelai can control.