I dont like needles either.
When my doctor sends me for blood work, i tell the nurse 'not too hard' lol
and i look away from the needle while she's doing it.
It feels like a tiny pinch, and you dont feel anything in about 2 seconds.
Maybe you could take a friend with you to distract you.
One time my sister inlaw went with me, and she brought her 2 kids, my niece and nephew, and they wanted to come in and stay with me while i got it done. I was more distracted by them, that i didn't really feel anything or care about the needle.
I hope that helped a little