Yes, vasovagal reaction is the term for fainting but that's normally caused by a physiological/medical problem. Fainting at the sight of blood is a form of emotionalism. As an RN, I call it 'weak-stomached' or a 'fainter'. It's an emotional reaction over which one can gain control by desensitization. The more you see it/learn about it, the less reactionary you become. Hemophobia m