Stir, strain, cocktail glass, straight up.
Consider using Cocchi Americano for the Lillet as it is probably closer to Lillet Kina than modern Lillet. Consider using dry apricot brandy (e.g. Blume Marillen) for a less sweet drink
Savoy cocktail book
Light rum, Apricot liqueur, Aromatized wine, Lemon juice