I suspect this is one of those trick questions intended to demonstrate why gyroscopes turn 90° to applied force etc.
The gyroscopic force exerted by the rotor may impart some initial pitch up or down, but the aerodynamic forces acting on the whole aircraft are what counts.
Stick some rudder in on a fixed wing aircraft and it yaws, then rolls, then pitches down as lift is lost. Basic 101 flying lesson. Why should rotary craft be any different?