Make the Creamy Chimichurri Sauce. Combine 3 tbsp. Greek yogurt, 3 tbsp. mayonnaise, 2 tablespoon minced shallot, 1 heaping tbsp. finely chopped parsley, 1 heaping tbsp. finely chopped cilantro, 1 tbsp. good olive oil, 2 tsp. red wine vinegar, 1 small garlic clove, and ½ tsp. Diamond Crystal kosher salt in a small bowl. Whisk to thoroughly combine, then taste and season with more salt if needed. Set aside.
Season the Chicken. Combine ½ tsp. garlic powder, ½ tsp. Diamond Crystal kosher salt, and ½ tsp. freshly cracked black pepper in a bowl and stir to evenly combine. Season one 8 oz. chicken breast all over with the seasoning, then set the chicken breast aside for about ten minutes at room temperature.
Cook the Chicken. Heat 2 tsp. avocado oil in a pan over medium heat. Cook the seasoned chicken breast for about 4-5 minutes per side, until browned and the internal temperature reaches 165 F. Transfer the chicken breast to a bowl and cover with foil. Let it rest for at least five minutes, then shred it in the bowl.
Cook the Jalapenos and Red Onions. Once the chicken is transferred to a bowl to rest, cook the jalapenos and red onions in the same pan the chicken was cooked in. Add a couple of tablespoons of water to the pan, then use a wooden spatula to scrape the browned bits into the water. Add the sliced jalapenos and chopped onions to the pan, then cook for 3-4 minutes until softened and just slightly crispy.
Mix in the Shredded Chicken. Shred the chicken while the jalapenos and onions are cooking, then transfer the chicken and any liquids from the bowl back to the hot pan.
Add Cilantro. Mix the chicken into the jalapenos and onions, then mix in the finely chopped cilantro. Turn the heat off from underneath the pan.
Build the Tacos. Layer the shredded romaine, sliced avocado, and shredded chicken into warmed flour tortillas. Top with crumbled feta cheese, and drizzle with creamy chimichurri sauce. Serve warm!