Pound chicken to 1/4-inch thickness. In a shallow dish, whisk oil, tequila, lime juice, hot sauce, Worcestershire, ginger, chile, and salt. Reserve 1/3 cup of this marinade, then put the chicken in dish, turn to coat, and marinate 30 minutes.
Grill chicken on a charcoal or gas grill over medium heat (you can hold your hand 1 to 2 inches above grill level only 4 to 5 seconds), turning once, until cooked through, 6 to 8 minutes total.
In a small saucepan over medium-high heat, simmer reserved marinade until reduced to 1/4 cup, about 2 minutes. Whisk in the cream, then remove from heat. Serve chicken drizzled with sauce and garnished with cilantro, if you like. Serve extra sauce and a green salad on the side.
Note: Nutritional analysis is per serving.