Rinse the rice and cook it in 400 ml (1 2/3 cups) of water: bring to a boil over high heat, cover, simmer on low for 15 minutes and rest 5 minutes.
Slice the chicken thighs into thin strips and toss with the oregano, cumin, smoked paprika, garlic powder, lemon juice, oil and salt. Leave 10 minutes.
Heat a large cast-iron or heavy skillet over medium-high heat until hot.
Add the chicken in one layer (two batches if needed) and cook without stirring for 3 minutes, then stir and cook 5 to 7 minutes more until crisp at the edges and 74°C (165°F) inside.
Dice the tomatoes and cucumber and thinly slice the red onion. Mix the Greek yogurt with chopped dill and a spoon of grated cucumber.
Build the bowls with rice, chicken, the salad, feta and the dill yogurt.