Is it normal to hate extending my arm

i take meds. every two years or less i have blood work done, and theres two things i am terrified of: needles, and blood. now every time i extend my arm(s) the way they do to take blood, i get scared and sickly at the idea it gives. i don't think it's that abnormal, but it's such an uncumfortable and vonarable feeling i get. is it normal to get scared at extending your arm this way?