You don't sound like a wimp at all. Here is wimpy, I had to go for my flu shot last thurs - I was panicking about it so much that I had already cancelled my appointment twice. I took my friend with me to hold my and and put emla patches on both arms and I *still* screamed when she did it........she gave me a lollypop. So embarrassing - haha!
Phobias can be debilitating!