Maybe. I think from memory they've used the same vein for the last few appointments and I'm wondering whether that's part of it too. But I have also been pretty stressed/burnt out so that could be it as well.
My wife is the same about being phobic towards needles. She'd love to give blood but needles are just something she can't handle. Sounds like though you've been able to at least get to a point where you've donated before, albeit with a bit of trouble?