This phobia is characterized by an intense fear of needles or other pointed objects. Symptoms may include sweating, trembling, nausea, difficulty breathing, and a racing heart. People with aichmophobia may avoid medical procedures or activities that involve needles, such as blood tests, vaccinations, or acupuncture
From Wikipedia
Aichmophobia is a kind of specific phobia, the morbid fear of sharp things. It is derived from the Greek aichmē (point) and phobos (fear). This fear may also be referred to as belonephobia or enetophobia.