offend (someone's) sensibilities

Translations
оскорбить (чьи-то) чувства
The comedian's jokes did not offend my sensibilities, but others might feel differently.
Шутки комика не оскорбили мои чувства, но другие могут чувствовать иначе.
Definitions
To do or say something that shocks, upsets, or displeases someone because it goes against their personal values, tastes, or sense of what is proper or acceptable.
Words
sensibility

noun
чувствительность
offend

verb
обидеть