Synonyms of 'insusceptible'
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If you accuse someone of being indifferent to something, you mean that they have a complete lack of interest in it.
People have become indifferent to the suffering of others.
If you describe someone as insensitive, you are criticizing them for being unaware of or unsympathetic to other people's feelings.
My husband is very insensitive about my problem.
Thesaurus for insusceptible from the Collins English Thesaurus
not capable of being affected (by); not susceptible (to)