Separate the wing parts. Using a sharp knife, separate the drumette from the wingette and tip.
Please consider including the tips in your dish, otherwise, please put them in the freezer and save them for stock. Put all the parts into a large bowl, add the brining ingredients, turn all around so all the pieces can get covered, and refrigerate for about an hour.
While the chicken is brining, make the dressing. Combine all the dressing ingredients together in a bowl and mix well. I usually make mine in a small food processor so it gets very creamy. Put the dressing in its serving bowl, and refrigerate it until time to serve. If you are going to want to serve with fresh vegetables like celery or carrots, now would be the time to prepare them as well.
Remove the chicken from the brine and pat dry. They will have absorbed the flavors by now, so no worries about patting them dry. But you want them dry so they crisp up well.
Heat oil in a large pan to 335 degrees. While that is happening, get your drying rack and absorbent paper ready. Also get your instant-read thermometer handy.
When the oil is ready, put a few pieces of chicken, maybe 5, in the pan. Cook for about 5 minutes, then turn and cook for another 5 minutes, or until the chicken has nicely browned and has reached an internal temperature of 165 on an instant-read thermometer. Drain on the paper-lined drying rack. Continue cooking the rest of the wings in batches until all have been cooked.
While you are frying the chicken, put the butter in a saucepan and heat it until it melts. Watch carefully that it does not burn, then remove from the heat and set aside. When all the chicken has been cooked, in a separate bowl, but the hot sauce and butter. Mix vigorously. Break the egg into a small bowl, and thoroughly scramble it. Add a small amount of the hot sauce mixture to the egg and mix it thoroughly. This will temper the egg. Add the tempered egg mixture to the remaining sauce mixture and mix thoroughly.
Put the chicken wings in a large bowl, preferably one with a cover, pour the sauce over and mix the sauce so every piece of chicken gets covered. If you have a cover for your bowl, you can just shake it, it's a lot easier.
Plate up by putting the dressing in the center of a large plate or platter, then arrange the wings and whatever fresh vegetables you may or may not have included. Serve immediately and enjoy!
Notes
It is important to use unsalted butter because the Louisiana hot sauce of your choice has a lot of salt already in it.
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