That depends on the trainer. Some handle wind better than others. All high wing planes will want to flip over if it gets into a cross wind on the ground. A good way to handle a crosswind taxi is do what full scale Cessna pilots do, give it aileron into the wind. which means if the wind is coming in from the left give it just enough left aileron while taxiing to keep the wingfrom lifting and on the takeoff roll, but during the roll you will be letting off the ailerons a little at a time, but be prepared for the plane to want to roll away from the wind so you will need rudder and a little aileron to conteract this as the plane lifts off.

It's a lot to do if you are recently solo and do not have a lot of time in wind, It's a skill that takes tons of practice. If you have a sim, crank up the wind and have it at 90 degrees to the runway and practice