Place the chicken breast in a bowl and submerge in buttermilk; let marinate in the refrigerator for at least 30 minutes.
In a shallow dish, whisk together the almond flour, arrowroot powder, garlic powder, onion powder, smoked paprika, sea salt, and black pepper.
Remove the chicken from the buttermilk, allowing excess to drip off, then dredge thoroughly in the flour mixture, pressing down to ensure a thick coating.
Preheat your air fryer to 375°F and lightly spray the basket with avocado oil.
Place the chicken in the basket, spray the top of the chicken with the remaining avocado oil, and air fry for 12-15 minutes, flipping halfway through, until the internal temperature reaches 165°F.
While the chicken cooks, whisk the Greek yogurt, chicken broth, and fresh chives in a small saucepan over very low heat until just warmed through and smooth.
Plate the crispy chicken and drizzle the warm herb gravy over the top before serving.