The WHO put out a manual explaining how to manage the population when they respond to "vaccine events" (deaths and disabilities from vaccines) with distrust of vaccines and vaccinators. They recommend already having a team in place to put out their message.
I read from it.
https://apps.who.int/iris/bitstream/handle/10665/352029/WHO-EURO-2022-3471-43230-60590-eng.pdf?sequence=1&isAllowed=y