"gag rule" refers to a rule or policy that restricts or silences someone's right to speak or express their opinion on a particular topic. Full definition
This expanded version of the global gag rule threatens to undermine and even reverse that progress. (plannedparenthood.org)
Critics say it will amount to a «domestic gag rule» — prohibiting health care providers from mentioning abortion and building a wall between doctor and patient. (politico.com)