Roast Poblano Peppers over open flame (I just do them right on the gas stove top) until most of the outer skin is charred and black. Place Poblanos in a bowl, cover with plastic wrap, and let steam for 5 minutes. Remove skin, stem, and seeds from peppers and discard. Chop Pepper into small ½ inch squares.
Melt butter in large sauce pan over medium heat. Add bacon & brown. Lightly dust chicken breasts (after pounding thin) with flour & place in pan. Brown on both sides. Remove chicken/bacon & put on a plate. Add garlic & wine to deglaze the pan. Add Chopped Poblanos, Bacon, Mushrooms, Salt, and Pepper. Put the chicken back in the pan. Add cream. Reduce heat to Medium-Low, cover, and cook an additional 15-20 minutes stirring occasionally until chicken is done.