In A, Last evening describes when she suffered, so it's acting as an adverb.
In B, open could describe the door or how it was left, meaning it could be acting as an adjective or an adverb.
In C, in the annex could describe where it was discussed or the problem of noise, meaning it could be acting as an adjective or an adverb.
In D, for Mr. Dussel describes the drink, not bought. (adjective)
A is the only one that must be an adverb, so I'd go with that. It wouldn't be hard to raise an objection with your teacher if you're "wrong," anyways.
