I noted the passage below, because I think it's easier to read chord tones/non-chord tones from notation rather than tab...
...I put middle voice
G4 in tied quarter notes to help demark the metrical points of the melody against the chords of the accompaniment.
D in question first enters as a non-chord tone relative to the
E minor chord of the accompaniment. While the
D is held, the accompaniment changes to a
D major chord, at which point the
D becomes a chord tone. That's called an anticipation.
It's sort of like the
D comes in early, before the chord. Supposedly that is the
D "anticipating" the chord. I don't know what that wording is used. "Foreshadow" would seem a better description, but "anticipation" is the standard term.
Some might say the
D is part of a
Em7 chord and therefore not an anticipation. That's a debatable point. The beginning certainly sounds like an
Em9 chord, but when it gets to the part marked verse the chords seem more simple triads at which point non-chord tone descriptions seem appropriate to me.