Preheat your oven to 325°F (165°C). Do NOT grease your 10-inch tube pan with a removable bottom.
Sift the cake flour and 3/4 cup of sugar together four times.
In a large, clean bowl, beat egg whites until foamy. Add cream of tartar and salt, then continue beating until soft peaks form.
Gradually add the remaining 3/4 cup sugar, about 2 tablespoons at a time, while beating continuously. Beat until stiff, glossy peaks form.
Fold in vanilla extract, citrus zests, and lemon juice with a large spatula using a gentle cutting and folding motion.
Gradually sift the flour-sugar mixture over the egg whites, about 1/4 cup at a time, gently folding after each addition.
Carefully transfer the batter to the ungreased tube pan. Run a knife through the batter to remove large air pockets, then smooth the top.
Bake for 35-40 minutes, until the cake is golden and springs back when lightly touched. The internal temperature should reach 205°F for perfect doneness.
Immediately invert the pan over a bottle neck or using the pan's feet if it has them. Cool completely for 90 minutes.
Once cooled, run a thin knife around the edges and remove from the pan.
While the cake cools, combine sliced peaches with honey, lemon juice, and vanilla extract. Let sit for at least 30 minutes to allow the flavors to meld and natural juices to release.
Serve cake slices topped with the peach mixture.