Once the chicken breasts are in the oven, start preparing the sauce.
Wash the mushrooms, remove the stems, and rinse them in plenty of water.
Pat them dry and slice them. You can also buy pre-sliced mushrooms. I used frozen mushrooms.
Heat a little olive oil in a skillet and sweat a chopped onion over low heat.
When the onion becomes translucent, add the mushrooms.
Sauté until the mushrooms are cooked, then add the cream, cheese, a bit of chives, and dried dill. Stir and let simmer until the sauce is thick and creamy.
Add the cream after the chicken breasts are out of the oven. If the chicken is still baking, turn off the heat under the mushrooms and wait until the meat is ready.
Serve the chicken breasts topped with the creamy mushroom sauce.
Serve hot, accompanied by a fresh salad.