Answer
She will travel down at a constant speed.
Work Step by Step
If the force she exerts is equal to her weight, the net force is zero. Since $F=ma$ and the force is zero, the acceleration is zero. Also, since $a=\frac{\Delta v}{\Delta t}$ and $a=0m/s^2$, there is no change in velocity and therefore she must be traveling at a constant speed.
