The head of the department was bent out of shape because the engineers had missed every deadline.

A) was upset.

Explanation:

Bent out of shape: It is a phrase which in general means got angry or upset.

It was understood that the HOD was upset without even looking up for the meaning of 'bent out of shape', because first his employees missed the deadline, secondly 'being upset' is the normal reaction expected by the people if something is not done according to their wish. You can't obviously shout or hit them because it is illegal.