Sensibility | Define Sensibility at Dictionary.com
Cambridge Dictionary Online: Free English Dictionary and Thesaurus - Cambridge University Press - Cambridge Dictionaries Online - Cambridge University Press6. Often, sensibilities. capacity for intellectual and aesthetic distinctions, feelings, tastes, etc.: a man of refined sensibilities.
the ability to feel and react to something
Racism is offensive to the modern sensibility.
The issue has little to do with religious sensibilities.