Do you feel physically cold when you're anxious?

I'm usually cold anticipating an upcoming anxiety-inducing event. But on the day of the event, and all throughout the event, I'm hot and sweating like a pig. If I can "escape" to the background, then I get cold again; but if someone notices me I'm all aflame again.

It doesn't even have to be a major event with lots of people like a family reunion or an awards ceremony - even simple things like doctor's appointments or having to go shopping can do it.