Had to show my full arm to a man

I am 24 years old and once for a blood test I was wearing clothes which could not go all the way up till were we had to put the injection. So I took my arm out of the clothes I was wearing. But the problem was my arm was visible from my shoulders so basically all of the arm including my underarms and also my strap of the bra. So now I think of it I feel like I did something wrong showing my arm to a person who is a male and I don’t know him. So can you please tell me if it was wrong and will I be punished. Thanks.