doxophobia

A fear of expressing one's opinion.

In response to the other July/August request, for a word to describe a "fear of inadvertently throwing something valuable out with the garbage," many, many phobias arrived. Evidently the readers who sent them in suffer from neither doxophobia (fear of expressing opinions) nor neophobia (fear of anything new or novel), and some would even seem to be remarkably free of catagelophobia (fear of being ridiculed).

A fear of being praised.