She [absently] glared at him but would not lower herself by actually speaking to him
Explanation:
Using the process of elimination and the context of the sentence, we can take away "kindly" and "romantically" from the possible answer choices. "Hauntingly" is defined as "in a poignant or evocative manner", and "absently", "in an absentminded way; vaguely". The latter part of the sentence "...not lower herself by actually speaking to him" matches up with "absently"s synonym, "vaguely". The speaker would most likely not want to associate with the 'him' she's referring to, and a vague glare would match up with what we know of her.
