01 - Season the chicken breasts with salt, pepper, and garlic powder on both sides.
02 - Heat olive oil and butter in a large skillet over medium-high heat. Add the chicken breasts and sear for 4-5 minutes per side, until golden brown and nearly cooked through. Remove chicken and set aside on a plate.
03 - In the same skillet, reduce heat to medium. Add the chopped shallot and garlic; sauté for 2-3 minutes until softened and fragrant.
04 - Pour in the chicken broth, scraping up any browned bits. Simmer for 2 minutes.
05 - Stir in the heavy cream, Dijon mustard, and chopped dill. Bring to a gentle simmer.
06 - Return the chicken breasts and any juices to the skillet. Simmer on low heat for 6-8 minutes, or until the chicken is cooked through and the sauce has thickened.
07 - Stir in lemon juice. Adjust seasoning if needed. Garnish with extra dill and serve hot.