Minor bit of damage taking out first fodder supply (4)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

c RACK (minor bit of damage) missing first letter or ‘taking out first’. We entered RICK (as in hayrick – ‘fodder supply’) without being happy with our parsing having ‘ p RICK’ for minor damage. Checking in Chambers a RACK is the grating where the fodder is stored for the animals to pull down.