This is a fear of spiders, or arachnophobia. It is a common phobia that can cause intense fear and anxiety when confronted with spiders or spider-like creatures. Symptoms can range from mild to severe and can include fear of being near spiders, fear of being bitten, and
From Wikipedia
Arachnophobia is the fear of spiders and other arachnids, such as scorpions and ticks. Arachnophobia is a specific phobia and is one of the most common described anxiety disorders, despite the fact that most arachnids pose little threat to humans.