I think they're taking "at the time she is about to land" as the time that she is in contact with the trampoline when she is coming back down. During this period, the gravitational potential energy of the girl is being transformed into elastic potential energy in the trampoline. As this is happening, the girl will lose velocity, that is she is slowing down. To get this decrease in velocity we need the acceleration of the girl to be in the opposite direction she is travelling.
You can think of it another way with the situation of a car taking off from a rest and then slowing down. As the car takes off and increases it's velocity, it's acceleration is in the direction of travel. When the car starts to brake, the velocity of the car decreases, and to get this decrease we need the car to 'accelerate in the opposite direction' (which you might have heard this described as decelerating in this [particular situation before).
Hope that helps! Sometimes the wording in these questions can be a bit tricky to work out which instant they are trying to refer to.