To prepare the roux. Heat oil on medium in a large pot because the oil will splatter to protect yourself. When oil is heated about 5-8 minutes, add flour, whisking very well.
Lower heat to medium-low and whisk until the roux is the color of milk chocolate, right before it reaches dark chocolate. This will take about an hour. Lower heat if roux brown too quickly.
You can not rush roux, low and slow is the key to a great roux. If you burn it start over. It’s not worth ruining the whole gumbo. This will make enough roux for two gumbos.
Allow extra roux to cool then place in a freezer bag and freeze it.
To Prepare the Gumbo:
In a large stock pot, add broth and water. Add all chopped vegetables, add sausage that have been sliced on a diagonal about 1/2 inch slices. Add dry shrimp, smoked turkey and half the seasonings. If you think your sausage might be extremely greasy, slice them and boil them in a separate pot for about 20 minutes to release the oil from them. Then add them to the stock pot. Allow this mixture to cook for about 1 hour on medium heat.
Start preparing your roux while the vegetable mixture cooks.Directions below on how to prepare your roux. After 1 hour, remove smoked turkey from pot, peel off turkey skin and discard, shred turkey meat and add back to the pot. Add the remaining seasonings, add the chicken breast chunks and cooks for 30 minutes. Lower heat to medium-low and add 2 cups of the roux mixture and cook for 30 minutes more. Be very careful when adding the roux, it will splatter and burn you.
I put a big spoon in the pot and allow the roux to fall on the spoon first so it slowly hits the hot stock. After adding the roux, put a lid on the pot with a slight vent and this will allow any grease that accumulates to rise to the top of the pot so you can skim it off.
You will not get all the grease off, its OK. Finally, dump the shrimp in that has been peeled and deveined. Let gumbo cook 30 minutes more while you prepare your hot rice and get ready to eat.