Hi AA and welcome!
I have had both hot and cold episodes with anxiety/panic.
One reason may be due to the fact that the SNS, when stressed, will pull blood into the major muscle groups for fight of flight puporses...which would leave the extremities feeling cold.
...and yes, it is common for symptoms to come up in random combos, even at random times...making it hard to deal with due to the unpredictable nature of this condition.
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"Courage is not the abscence of fear, it is feeling afraid and doing it anyway!"
"Worrying does not empty tomorrow of its troubles...it empties today of its strength."
Corrie Ten Boom
Panic Syndrome recovery due to CBT