Definition
The act of heading the aircraft slightly into the wind so that the aircraft's actual path over the ground matches the intended track, rather than being pushed sideways by a crosswind.
Plain English
When wind is blowing across your path, you point the nose a little into the wind so the airplane still travels in the direction you actually want to go.
Context Anchor
Used when tracking a VOR radio-navigation course or any planned course where wind is pushing the aircraft off the desired line.
Derivation
Drift' here means being carried sideways by the wind, like a boat drifting across a river. 'Correction' is the adjustment made to cancel that sideways movement. Together: adjusting heading to cancel out wind-caused sideways travel.
Why Pilots Care
Without the correct heading adjustment the aircraft will not track the intended radial or course, producing navigation error or missed checkpoints.
Analogy
Like aiming upstream when rowing across a river so the current carries you to the spot you actually want to land, instead of straight downstream.
Intuition Check
Wind drift correction is not just turning back after you notice you are off course. It is the steady heading change, usually into the wind, that keeps you from drifting off in the first place.
Example Sentence 1
With a strong wind from the left, the pilot applied a wind drift correction by turning the nose a few degrees into the wind to stay on the VOR radial.
Example Sentence 2
With the wind drift correction dialed in, the aircraft tracked directly to the station without lateral deviation.