Not necessarily arrogant. It could mean that someone is very self-centered, inconsiderate of what others might think. So it's between self-centered and arrogant, depends on the tune of the source text, you should know which one is more appropiate.
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2 mins confidence: peer agreement (net): +8
very arrogant
Explanation: very arrogant
franksf United States Native speaker of: English, Chinese PRO pts in category: 4
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Thanks franksf and everyone for your helpful comments.