Three of the hosts' goals were scored by Gonzalo Higuaín - enough for him to break Serie A's single-season scoring record.
Their manager, Mircea Lucescu, spoke of "disgust" at the flashes of defensive ill-discipline that provided all three of the hosts' goals, complaining that it was "impossible for a team to have played this well and lost".
If Sherwood was unhappy with the first of the hosts' goals, he will have been even more annoyed by the second.
They appeared reasonably comfortable in understandably tense circumstances as they laid siege to their hosts' goal.
But with the Whitehawk putting pressure on the hosts' goal, the centre-half Rose got his head onto Sam Deering's cross in the closing seconds to secure a 1-1 drandand a replay.
He has certainly seen the hosts' goal difference numbers, and may decide that keeping Bayern in sight, rather than letting them win and move five points clear at the top of the group, is probably the day's biggest priority.
But the Chilean's pre-match criticism of the surface was quickly brushed aside as City peppered the hosts' goal.
It took 20 minutes before Villa threatened the hosts' goal and by that stage they could have been three goals behind.
Killie's lead was looking ever more fragile as Hearts poured players forward and a Marius Zaliukas shot deflected narrowly wide of the hosts' goal.
Having contributed to the hosts' goal with their indiscipline, Wales then failed to deal with Kolarov's run into the penalty area.
