1Add the gin, lemon juice, lime juice, egg white, cream, sugar, and orange flower water to a cocktail shaker. Shake vigorously, about 15 seconds.
2Add a handful of ice to the cocktail shaker and shake again until the outside of the canister looks frosty, about 15 seconds. Strain into a chilled 10-ounce highball or collins glass without ice. Top off with club soda.