Prep your ingredients. Begin by chopping 1/2 medium yellow onion. Set aside.
Halve the olives. Set aside.
Zest the lemon and squeeze out 2 tbsp of juice. Set aside.
Pat the chicken dry with paper towels and lightly salt and pepper each side.
Heat 1 tbsp olive oil in a deep skillet over medium-high heat.
Add the chicken, skin side down. Cook each side until golden, about 5-7 minutes per side.
Remove the browned chicken to a large plate and loosely cover with aluminum foil.
Add the chopped onion to the skillet and cook, stirring with a spatula, until soft and translucent, about 3 minutes. You can add a little olive oil if the pan is too dry. Lower the heat to medium if the onion is browning.
Sprinkle in the oregano and basil and stir, cooking until fragrant, about one minute.
Stir in the orzo and toast it for about 2 minutes.
Add the chicken broth and stir.
Stir in the tomatoes, olives, artichoke hearts, lemon zest and juice.
Return the chicken to the pot and cover. Cook at a vigorous simmer until the orzo is cooked through, about 12-15 minutes. Check on the dish frequently to ensure the liquid isn't evaporating too quickly (i.e., before the orzo is cooked). Lower the heat if necessary.
When the orzo is ready and the chicken cooked through, lightly crush the tomatoes. NOTE: Be careful because the tomatoes are full of hot liquid and you can easily get burned.
Sprinkle the completed dish evenly with the crumbled Feta cheese.