In a transverse wave , the motion of the disturbance is to the wave motion?

"perpendicular" or at a "right angle"

Explanation:

an example of a transverse wave is the wave created by a string being moved up and down

the wave travels to the right (or left) through the string, while a particle of the string is moved up and down (in other words: if you put a mark on one part of the string, the mark would only move up and down)

since moving right is perpendicular to moving up/down, the disturbance is perpendicular to the wave motion