Madam Wu says her father died a day before the Heimlich maneuver was invented. This puts his death in 1974. If the 2005 release date is the year the episode takes place in, this means Wu is a minimum of 30 years old.
The title is a reference to the Chinese dish "Moo Goo Gai Pan".
When the Simpsons and Selma are attempted to run away after taking baby Ling, Madam Wu confronts them in a tank. From a brief second, Madam Wu in her tank and Selma holding Ling are arranged in a manner similar to the famous Tiananmen Square protestor in 1989. As a result of this scene, the episode is banned from Disney+ in Hong Kong.
Lucy Liu's character in this is Madam Wu and the baby that Selma adopts is named Ling, this could be a call out to Lucy Liu's character on Ally McBeal as her character in that show was called Ling Woo. Ally McBeal and The Simpsons both aired on Fox.