Warm the milk to 116°F and add brown sugar and butter.
Sprinkle the yeast over and let it sit until frothy (about 5 minutes).
In a large bowl, combine flour and kosher salt.
Mix in the yeast mixture, then add the egg and vanilla extract. Blend until a dough forms.
Cover the bowl with plastic wrap and let the dough rise for about 1 hour or until it doubles in size.
Roll out the dough to 1/4 inch thickness.
Cut into squares or rectangles.
Heat oil to 375°F.Fry the beignets until golden brown on both sides (about 2-3 minutes per side).
Remove from oil, drain on paper towels, and dust generously with powdered sugar.
Serve warm and indulge in the delightful combination of flavors and textures.