Place the chicken breast in a shallow bowl and pour the buttermilk over it, ensuring it is fully submerged; let marinate for 20 minutes.
In a separate small bowl, whisk together the almond flour, arrowroot powder, smoked paprika, garlic powder, sea salt, and black pepper.
Remove the chicken from the buttermilk, letting the excess drip off, then dredge it thoroughly in the flour mixture until evenly coated.
Heat the avocado oil in a medium skillet over medium-high heat until shimmering.
Place the chicken in the skillet and cook for 5-6 minutes per side, or until the coating is golden brown and the internal temperature reaches 165 degrees Fahrenheit.
Remove the chicken from the pan and set aside to rest.
In the same skillet, whisk in the chicken broth and almond milk, scraping up any browned bits from the bottom of the pan.
Stir in the fresh thyme and simmer the sauce for 2-3 minutes until it thickens into a creamy gravy.
Pour the warm gravy over the chicken and serve immediately.