When something is intense, it's searing. If you fall while roller skating, the searing pain in your leg is a sign that you've really hurt yourself.
Searing comes from the verb sear, "burn or brand." The searing heat of the sun beating down on a sweltering day might make you seek relief in the icy cold ocean — it's that powerful. This adjective usually describes extreme heat or pain, but you can also use it for similarly intense criticism. Don't let your debate opponent's searing rebuttal fluster you!