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1. A text message that was ignored, disregarded or dismissed.
2. A show of indifference or disregard for someone's text message.

Derived from the phrase, cold shoulder, a phrase used to express dismissal or the act of disregarding someone.
Stefan texted Cathrin to see if she was still awake, though she was, she decided to give him the cold text.
by Stefan Heart June 17, 2011