Point D is a turning point so the angular velocity at point D is zero. You indicated that the direction of the angular acceleration at point D is into the page. The direction of the angular acceleration at the turning point is the same as the direction of the angular velocity immediately after the turning point. Immediately after point D, is it true that the angular velocity is directed into the page?

The direction of the angular acceleration at a turning point is the same as the direction of the angular acceleration just before or just after the turning point.