It often seems that when God wants to impart His presence in a very special way, we are first made to endure an absence -- of some kind, usually the absence of some palpable earthly consolation. I was thinking of the Pentecost, and how it was (necessarily!) preceded by the Ascension. God had to leave us first in order to be with us more intimately after the Pentecost.
So it must be with the absences that we endure in our life. Absence or emptiness (especially the latter) seems almost a precondition for receiving divine power or grace. It was to a virginal womb that Christ became incarnate. He rose from the dead, but He first (obviously) had to die. And He left this world to prepare a place for us, but then He sent the Spirit, the Paraclete, the Advocate, the Comforter, the Strengthener.
If God can bring Annunciation out of virginity, and Resurrection out of Crucifixion ... if God can bring spring out of winter, flowers from the desert, honey from the rock! ... what can He not do with our other "voids" that need to be filled?
Patient endurance of the emptiness. That's the key.