Self-censorship

self-censorship

sɛlfˈsɛnsəʃɪp/

noun

1. the exercising of control over what one says and does, especially to avoid criticism.

   "a climate of self-censorship, fear, and hypocrisy"
2. 
   

control of what you say or do in order to avoid annoying or offending others, but without being told officially that such control is necessary:

These writers knew that unless they practised a form of self-censorship, the authorities would persecute them.

http://dictionary.cambridge.org/dictionary/english/self-censorship