Heat the pan up to medium-high. Add butter; wait until nearly all the butter is melted.
Add half of the flour to the pan; whisk. Continue to whisk and slowly add the rest of the flour.
Slowly add the drippings to the pan (make sure to whisk well to prevent lumps); whisk until well mixed.
Add the fresh finely minced thyme and the soy sauce; mix well.
Slowly pour ½ cup of broth into the pan; whisk until smooth. Repeat the step by adding second ½ cup; whisk until smooth. Then slowly pour in the rest of the broth; mix and whisk.
Season with salt and pepper; mix.
Bring to a boil for 30 seconds and reduce the heat to medium. Let it simmer for 10 minutes or until desired consistency.