A radially downwards manoeuvre sets up a CSM orbit which initially moves below and ahead of the LM, then moves up to be in front of the LM after half an orbit, continuing to above and ahead and returns to the vicinity of the LM one complete orbit later. This keeps the CSM away from the path of the LM after the DOI manoeuvre, which causes it to depart to the aft of its original position.
If you visualise the pair travelling to the right, the CSM trajectory relative to the original path of both is an anti-clockwise ellipse starting at the 9 o'clock point, while the LM departure is out to the left, curving gently downwards.