Dan:
I don't think I have a 'phobia' about needles, but I hate the darn things. I dread having fluids either withdrawn from me or stuck into me.
I have spent most of my career flying in war relief, and most wars take place in rat hole countries that require a zillion vaccinations prior to entry. I'm also over 40, and maintain a JAA medical, which means that every time I show up for a renewal, they draw blood.
I've come to an understanding with the staff at the medical center - the deal is this: I get to lie down (rather than sit down) when they do their stuff with the needle, and they keep the needle out of sight both before and after they do their business. The staff at the medical center are very gracious about this, although they do get a chuckle out of the fact that I have, during my career, been shot down with a missile, hijacked, shelled, taxied over a land mine, and all sorts of other stuff like that - and don't seem to mind it, and keep going back to work in such environments - but can't stand the needles at the medical center every 6 months.
So, don't worry about it. As you have already discovered from reading earlier responses, you are not the only person out there who dislikes needles.