Season the chicken breast on both sides with the sea salt and black pepper.
Heat 0.5 tablespoons of the extra virgin olive oil in a large skillet over medium-high heat.
Place the chicken in the skillet and sear for 6 to 7 minutes per side until golden brown and cooked through, then remove and set aside to rest.
Add the remaining 0.25 tablespoons of olive oil to the same skillet along with the sliced mushrooms and finely diced shallot.
Sauté for 5 minutes until the mushrooms are browned and tender, then add the minced garlic and cook for 1 additional minute.
Pour in the chicken broth and coconut aminos, scraping the bottom of the pan with a wooden spoon to release the flavorful browned bits.
Simmer the sauce for 3 minutes until slightly reduced, then stir in the fresh thyme.
While the sauce simmers, steam the asparagus spears for 4 minutes until they are bright green and crisp-tender.
Slice the chicken breast and arrange it on a plate, pouring the savory mushroom sauce over the top.
Serve immediately with the steamed asparagus on the side.