I don't think that is a recognized fear. Can't find a name for it.
The fear of thorns falls under the phobia concerning sharp or "pointy" objects, known as aichmophobia. This phobia is sometimes known as belonephobia or enetophobia. The fear itself, however, mostly refers to the fear of needle-like objects.
it has thorns
There are no apple trees that have thorns. There is a tree called the Hawthorn Thornapple tree that has thorns as its name suggests.
The soldiers placed a crown of thorns on Jesus's head as a mocking gesture of his claim to be the King of the Jews.
There is no word for the fear of boogers
what is the fear of dusbins called ?
The fear of fears is called phobophobia. It is the fear of getting a phobia.
The fear of electronics is called technophobia
the fear of nuns is called "monachousaphobia"
Shrike
The fear is called Triskaphobia. Similarly, the fear of the number 13 is called Triskadekaphobia.
The fear of stickers is called panniophobia. The fear of stickers is fairly common and is often related to the fear of uncleanliness. The fear of stickers is called panniophobia.