You will miss quests and a couple teachers if you do not use the disguise, but you can still proceed that way. If you use the disguise, you can always remove it at the end of the act, and go back through the citadel killing everyone.
Did you click on the levers in order so they say 'Beware.. ..Of.. ..The.. ..Traps' (NW, SW, NE then SE)? This will open the door on the west side of the training grounds.
Since you probably killed the soldier in the north east lever room who would have warned you about this, the traps are connected to the torches; keep to the left, then right, then left and after the corner keep right. You can also send the summoning doll through first to find the traps.
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