My daughter's extremities are constantly ice cold.
Besides shivering, and brown adipose thermogenesis (BAT), the third major physiological defense against cold is peripheral (mostly skin) sympathetic vasoconstriction. As far as the autonomic nervous system is concerned, the critical thermoregulatory task is to maintain the temperature of the internal organs and the brain near 37 C or 98.6 F. One mechanism that has evolved to ensure this, is to divert blood flow away from the skin when core body temperature is too low and direct blood flow toward the skin when core body temperature is too high. Probably you are all aware of this.
Your daughter's arms, legs, fingers, and toes are cold because her body is trying to protect her brain and her heart from cold. The question I'm trying to get at is why these three physiological mechanisms appear to be operating at the wrong "setpoint" in PWME. My current idea is an extension of the IDO metabolic trap, involving the predicted high brain serotonin. Hypothalamic serotonin, at least in rats, is a known inhibitor of all three of these thermoregulation mechanisms.
There are temperature sensors in skin sensory nerves and also in the brain. They consist of neurons with temperature-sensitive ion channels in their cell membranes. So evolution cares about the temperature of fingers and toes, but naturally, it cares more about the brain and internal organs.
The reason I'm using shivering for an inquiry into thermoregulation is that people know when they are shivering and don't know when brown adipose cells are generating heat. We might use skin vasoconstriction as a measure but it's not as objective or as quantitative as a thermometer.