Preheat oven to 400°F (200°C). Prepare a greased muffin tin.
Heat 1 tbsp oil in a skillet; sauté onion & celery 3–4 min. Add carrots, cook 3–4 min, then add garlic for 30 sec.
Add shredded chicken; stir. Sprinkle 2 tbsp flour and stir 1 min.
Pour in 1 cup broth and ½ cup milk; simmer until slightly thickened (4–6 min). Stir in 1 cup peas; cook 2 min. Remove from heat and fold in ½ cup Greek yogurt, thyme, parsley, salt & pepper.
Spoon filling into muffin cups, filling ~¾ full.
In a bowl combine flour, baking powder, salt. Cut in cold butter until crumbly; stir in ¾ cup milk to form a soft dough. Spoon on top of each filled cup (drop biscuit style).
Bake 20–25 min until tops are golden and filling bubbles. Cool 5–10 min before removing.
Low-carb crust option: Combine 1½ cups almond flour + 1 egg + 2 tbsp melted butter + ½ tsp baking powder, press into muffin wells, pre-bake 6–8 min at 350°F, add filling, bake 10–12 more min.