In a large, clean metal bowl using an electric hand mixer, whip the eggs and sugar for about 5 minutes until a pale, loose, and very fluffy meringue looking consistency forms. Add the vanilla and mix until just combined. Sift in the salt, baking powder, Earl Grey powder, and GF flour and carefully fold until mostly combined. Add the melted butter and carefully fold the batter to fully incorporate, being careful not to deflate the whipped eggs too much. Place a large piping bag (fitted with a round tip if you want) tip-side down in a cup. Pour the batter into the piping bag, twist the open end of the bag, and place it in the fridge. Let the batter chill for about 1.5 hours.