Answer: apath

AnswerCrossword Clue
APATHBeat .. to one's door
APATHBeat ... to one's door
APATHBeat ... (clear the way)
APATHBeat ... to (make for hastily)
APATH" . . . ... of gold for him": Browning
APATH"Beat ... to ..."
APATHBeat -- to one's door
APATHIt's beaten to your door, idiomatically