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2.
Not bothered by anything. Easy going. Relaxed in any situation. Laid back.
There was panic everywhere, but I was unphased by it all.

He was unphased by the guy slamming the door in his face.

I was irritated but she was totally unphased
by Locksley McPherson Jnr February 11, 2009
 
1.
A somewhat common misspelling of the word "unfazed".

People often say a person is unfazed by something - meaning calm, not upset, not taken by surprise, not confused.
Johnny was completely unphased (unfazed) by his "F" in math class - he knew it was coming.
by Denty McChest-Hole October 21, 2009