There's a Greek-prefix-plus-phobia word for almost everything.
Iatrophobia is a fear of doctors, nosocomephobia of hospitals, pharmacophobia of drugs.
I read recently, however, that these days psychologists just use the pedestrian word for the thing following by, "phobia"; thus, cat phobia, not ailurophobia. Why daunt the already troubled phobic with big words? What if they have a
fear of big words? Does hippopotomonstrosesquippedaliophobia really improve matters?
But why not start out by browsing Wiki's long
list of phobias?