Don't forget that it's not how fast an object is moving, but how long it takes the object to cross the field of view. That's why a race car that goes past a fixed camera needs a much higher shutter speed to freeze than a race car that's being followed by the camera.
If the bee is filling the frame, then the leg might be moving at high speed from one end of the frame to the other.
If the flash exposure is higher than the ambient light, it doesn't really matter about the shutter speed, just the flash duration. Your friend might want to dial up the ISO to shorten the flash duration.
David Buzzard's Technical Blog