Meanwhile, prepare your Cajun trinity. Chop the celery, bell peppers and onions and set aside. Chop garlic and set that aside.
Slice andouille sausage and set aside.
In another 6-8 quart stock pot or a large dutch oven, combine the vegetable oil and flour. Over medium low heat, using high heat resistant cooking spoon, stirring constantly, make a roux.
The roux will go through several different color changes, from blonde to dark chocolate. Keep stirring until the roux darkens into a deep brown color. Be patient and stir continuously to avoid burning. If the roux burns you can’t save it. You'll have to make a new batch of roux.
When the roux has achieved the desired color, add your chopped onions, bell pepper and celery. Stir them into the roux and cook until softened. 5-10 minutes.
Add the chopped garlic, fresh thyme, bay leaves, garlic and onion powders, Italian herbs, dried thyme, cayenne pepper, hot smoked paprika, black pepper and salt. Mix well and sauté for 2-3 minutes. Stir continuously.
Add 2 cups of the smoked turkey stock to the roux. Mix well. Then add another 2 cups and mix until the roux is the consistency of a thinnish pancake batter.
Add all of the turkey stock and mix well, then increase heat to medium high and bring to a boil. Stir, cover and reduce heat to medium low, more on the lower side, and then simmer for 10 minutes, stirring occasionally. Adding a couple of cups of stock at a time ensures that there are no lumps of roux in your pot liquor.