This is more of a phobia, which is a persistent, irrational fear of a specific object, activity or situation that leads to a compelling desire to avoid it. A psychosis is a mental disorder characterized by symptoms, such as delusions or hallucinations, that indicate impaired contact with reality.
To my knowledge, a problem with your eyes will not cause a phobia.
However, your question intrigued me so much, that I had to do more research. I found that your phobia is called chaetophobia, a fear of hair.Those with the most severe fears of hair will be likely avoid those whom they believe to have too much hair and may react with phobic symptoms when in the vicinity of hairy people or animals. They will be likely to attempt to leave the area. There are even those who fear their own body hair and may try to remove it. Treatment options include hypnotherapy techniques, psychotherapy to find out the root cause of the development of the fear, cognitive therapy to learn to understand the phobia and develop strategies to manage the symptoms.
Talk with your internist and ask for a referral to see a psychologist to help you with this condition.