Without actual runway and weather conditions, especially the wind information it is hard to say what happened.
The Global is not a bad aircraft to takeoff with in cross winds. Just keep the proper amount of ailerons into the wind and keep them there after liftoff.
If the winds exceed 20kts 90 degree cross wind component, then you must apply the cross wind takeoff procedure which means the N1s cannot be accelerated beyond 66% until an airspeed indication (longer takeoff roll).
This is an engine limitation and not an airframe limitation so no "handling" issues with the aircraft.
The only other thing I can think of besides an unknown failure that would affect controllability is the pilot clipped a wing on the ground at or after the initial rotation.