on the QT- WordWeb dictionary definition

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Adverb: on the QT
Usage: informal

In secrecy; not openly; quietly
"met on the QT to discuss the invasion plans";
- secretly, in secret, on the Q.T. [informal]

Encyclopedia: On the QT

on the mend
on the move
on the nail
on the nod
on the nose
on the off chance
on the offensive
on the one hand
on the other hand
on the QT
on the qui vive
on the road
on the rocks
on the ropes
on the run
on the same page
on the side
on the sly
on the spot
on the spur of the moment