Although her advice in “Every Day’s a Holiday” (1937) was: “You should get out of those wet clothes and into a Dry Martini.”, the drink by her name is a bit more spirited:

• 3 – 4 oz brandy
• 1 egg yolk
• 1 tsp powdered sugar

Add ice cubes and shake robustly to completely blend the yolk … and sprinkle with cayenne pepper in honour of the ravishing Mae.

Recalling her various famous quotes, it’s often difficult to believe how these got by the Hays Office, especially since many were much more than suggestive, they had passed innuendo last Tuesday. A few samples: https://youtu.be/FJS670okmZc