From Burning (X) on page 208:
It doesn't mention armor, which I find odd since the question is inevitably going to come up. Is perhaps the phrase, "a Burning character suffers a single hit of X energy damage to a random hit location" implying that armor & Toughness Bonus are not subtracted from the damage? That the character just suffers it without modification from armor and TB? Or is it not mentioned because of the assumption that, of course, armor and TB are subtracted?
Since this is a change from DH1 I think the rules need to be more explicit here about it.