8 tomatillos, peeled, rinsed and dried
1 large white onion, peeled and thickly sliced or cut into wedges
1 bulb garlic, cloves cracked and left in jackets
2 large or 3 medium (3/4 pound) poblano chile peppers
Olive oil spray or EVOO – Extra Virgin Olive Oil, for drizzling
1 tablespoon thyme leaves, picked
1 teaspoon (1/3 palmful) Mexican oregano
1 teaspoon (1/3 palmful) ground cumin
Juice of 1 lime
A small handful cilantro tops or parsley leaves
1 teaspoon agave or honey
Salt and pepper
1 quart chicken stock
1 rotisserie chicken
4 large flour tortillas
1 cup cream fraîche or sour cream
1 cup (6 ounces) Swiss cheese, shredded
2 cups (8 ounces) Monterey Jack or Pepper Jack, shredded
Drained sliced pickled jalapeño peppers
Preheat broiler and place a rack in the upper third of oven.
Arrange tomatillos, onions, garlic and poblanos on a baking sheet, lightly dress with olive oil spray or EVOO and season with salt and pepper. Place under broiler and char until tomatillos have browned and burst, the onions are tender-crisp and charred at edges, and the garlic is golden. Let cool.
Peel and seed poblanos then coarsely chop. Remove garlic cloves from their jackets and the tops from peppers. Place everything in a food processor along with the thyme, oregano, cumin, lime juice, cilantro or parsley, and agave or honey. Pulse until almost smooth. Pour the mixture into a soup pot or Dutch oven; add stock and 1-2 cups water, depending on how thick or thin you prefer your soup. Bring soup to a boil then reduce heat to a low simmer.
Remove skin from chicken and pull meat into bite-sized pieces, discarding bones and skin. Add pulled chicken to soup.
Heat a large skillet over medium-high heat and coat lightly with spray or drizzle with oil. Add a large tortilla and char; flip, dot with crème fraiche and top with some of both cheeses and sliced pickled jalapeño peppers. Fold in half, press then turn; cook 1-2 minutes total to desired crispness.
Serve soup in shallow bowls with wedges of quesadilla alongside for dipping. Note: If serving for brunch, add a medium-poached egg to soup.