Is it normal to be this uncomfortable with these things?

I'm extremely uncomfortable with needles, it's not the pain it's just the discomfort and nastiness. 7 months ago when I got my blood drawn when the needle it was I was sweating and it was really cold and I also felt like I was going to throw up. I'm not making crap up or exaggerating I really seriously felt like I was going to throw up and I felt like I couldn't breath. Is this abnormal?
Is it normal to be this uncomfortable with these things?
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