This movie appeals to people with a feminist 'sensibility'. [=this movie appeals to feminists]
The writer is remembered most for his 'sensibility'.
She's a woman of poetic/artistic 'sensibility'.
(..) To find out about the good Catholic life? I have to follow every lead, however unlikely... ...however fucking painful it might be to your delicate fucking sensibilities. Who told you I had delicate sensibilities? - I just don't like it. Don't feel right. - I have reason to believe... (..)2006 The Departed