Cutie -or- Quiet
QT can either refer to a "cutie" as in "she's such a QT pie" or it can refer to "quiet" as in "BTW, on the QT, I'm looking for another job."
Online jargon, also known as text message shorthand, used primarily in texting, online chat, instant messaging, email, blogs, and newsgroup postings, these types of abbreviations are also referred to as chat acronyms.
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NetLingo Classification: Acronyms and Text Message