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A sore point
Emotional Sensitivity
Use 'a sore point' with care, as it refers to subjects that might cause emotional distress or provoke an argument. 
Conversation Caution
When discussing sensitive issues, 'a sore point' alerts listeners to tread carefully to avoid upsetting someone. 
Context Importance
Understanding the situation or history behind 'a sore point' helps to grasp why the topic is sensitive. 