Sensibility

Noun

1. Emotions or feelings arising from or relating to aesthetic or moral standards, especially those which are sensitive and thus likely to be hurt or offended. .mw-parser-output .defdate{font-size:smaller}

   "I apologize if I offended your sensibilities, but that’s the truth of the matter."

2. The ability to feel, perceive, or sense; responsiveness to sensory stimuli; sensitivity; also, the degree to which someone or something (especially a sensory organ or tissue) is able to respond to sensory stimuli.
3. The quality of being easily affected by external forces or stimuli; also, of a measuring instrument: the quality of being able to detect small changes in the environment.
4. Keen sensitivity to matters of creative expression or feeling; artistic or emotional awareness.
5. Affected or excessive artistic or emotional awareness; the fact or quality of being overemotional; overemotionality.