Hello.
Here, of course, you need to figure out what could be the fear of reading.
There may be various reasons: speech defects (stuttering, the absence or incorrect pronunciation of sounds), ridicule of classmates and neurology. It is better to consult with a child psychologist and learn more about the psychological causes of this problem. Sometimes children actually read with hesitations, especially when in a hurry.
Very well help in working with stuttering various fairy tale therapy methods and sand therapy.
Be sure to consult a speech therapist. He will teach the child different techniques of breathing exercises, relaxation, control of the smoothness of speech.
While hesitating, have your child speak much quieter and calmer. Observe the daily regimen, avoid additional loads. It also helps with such anxiety singing. Suggest to sing the word or, conversely, to utter a whisper.
The most important thing is not to rush the child, not to demand the impossible from him. At school, many children experience fear when they check the speed of reading. It's not so scary if the baby reads a little slower than the other children. In such situations it is better to support him, then the child will feel more confident. All the best!