In S1E11, Rory is telling Lorelai about Paris’ parents divorce. She says, “Her dad’s like this bigwig at a major pharmaceutical company, and they’re printing all the sordid details about it in the paper.” Lorelai asks, “Oooh, how sordid?” Rory responds, “Well, it’s not the Rick James incident, but Hugh Grant should be feeling pretty good about himself.”
The “Rick James Incident” refers to the musician, who was imprisoned for several crimes he committed while high on crack. In 1993, he and his girlfriend kidnapped a woman and held her hostage for several days. James also assaulted a woman that same year while out on bail.
In 1995, Hugh Grant was arrested for having sex in public with a prostitute. Public opinion of him remained favorable after the incident because he immediately owned up to it as a mistake.