Rinse chicken inside and out; pat dry with paper towels. Loosen skin of breast and thighs and work some salt under skin. Rub remaining salt all over chicken and in cavity (see Notes). Chill, uncovered, at least 3 hours and up to overnight.
Preheat oven to 375°F Zest lemons. Slice 1 lemon; juice half of the other.
Pat chicken dry, inside and out. Rub zest under as much of the skin as possible and rub any remaining zest inside cavity. Rub chicken all over with 1 tablespoons olive oil and the thyme. Put lemon slices in cavity.
Set a V-shaped rack in a heavy roasting pan large enough to hold shallots. Put chicken in rack, breast side up. Add shallots to pan and drizzle with remaining 1 1/2 tablespoons olive oil, turning them to coat.
Roast chicken, basting every 30 minutes or so, until chicken leg moves easily and skin is brown and crisp, 1 1/2 to 1 3/4 hours (remove shallots after 1 hour and set aside). Tip chicken so juices from cavity pour into roasting pan. Transfer chicken to a carving board and let rest, covered with foil.
Meanwhile, make sauce: Pour pan drippings into a measuring cup with a pouring lip. Trim tops from shallots and squeeze soft insides into a blender. Pour off all but about 1 tablespoons fat from pan drippings and add drippings to blender. Add 1/2 cup broth and the wine and pulse until smooth.
Pour sauce into roasting pan. Cook, scraping up brown bits and adding more broth if you want a thinner sauce, over medium-high heat on your biggest burner (or straddling 2 burners) until sauce turns a nutty brown, about 10 minutes. Stir in 1 tablespoons reserved Meyer lemon juice, or more to taste. Pour sauce through a fine-mesh strainer into a serving bowl. Carve chicken, discarding lemon slices; serve with sauce.

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Nutrition Facts

Per Serving Per 100 g

Amount Per 1 Serving
Calories	285.7 Kcal (1196 kJ)
Calories from fat	157.7 Kcal
		% Daily Value*
Total Fat	17.52g	27%
Cholesterol	68.03mg	23%
Sodium	386.49mg	16%
Potassium	427.93mg	9%
Total Carbs	15.06g	5%
Sugars	6.51g	26%
Dietary Fiber	3.03g	12%
Protein	16.48g	33%
Vitamin C	18.8mg	31%
Iron	1.8mg	10%
Calcium	50.9mg	5%

Amount Per 100 g
Calories	103.52 Kcal (433 kJ)
Calories from fat	57.14 Kcal
		% Daily Value*
Total Fat	6.35g	27%
Cholesterol	24.65mg	23%
Sodium	140.04mg	16%
Potassium	155.05mg	9%
Total Carbs	5.46g	5%
Sugars	2.36g	26%
Dietary Fiber	1.1g	12%
Protein	5.97g	33%
Vitamin C	6.8mg	31%
Iron	0.7mg	10%
Calcium	18.4mg	5%

* Percent Daily Values are based on a 2000 calorie diet. Your daily values may be higher or lower depending on your calorie needs.
Find out how many calories should you eat.

Tastes

salty
savory
bitter
sweet

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