I found only one relevant response at What is the word for the state of being offended?
"Offendedness is good enough for Salman Rushdie (www.salon.com) – Spagirl Aug 31 '17 at 13:16"
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Being thin skinned is to be easily offended. This usage is idiomatic.
Emotionally susceptible to or unable to ignore the verbal attacks or criticisms of others.
You can't be thin-skinned if you want to be in the entertainment industry.
This state could be called touchy:
Tending to take offense with slight cause; oversensitive.