(B)
Wrong. Although it is true that the acceleration itself breaks the symmetry (one twin accelerates while the other does not), the accelerating twin does not age more rapidly during the periods of acceleration. Indeed, the aging process during the brief acceleration phases of the trip is completely negligible. Essentially the entire aging takes place during the inertial phases of the trip.

Actually, when a complete analysis of the twin paradox is made from the accelerating twin's point of view, one twin does age rapidly during the turn around phase. But it is not the twin that feels the accelerating force who ages rapidly, it is the other twin that ages rapidly, the one back on the earth who feels no force.