People underestimate the humanness of elected officials. The mere perception that there's a groundswell of support for something is often enough to get someone moving on something, or at least thinking about it. "We need to head this off before it becomes a bigger deal" is your ally, as it's so hard to tell what will become a bigger deal, it makes that perception hard to ignore.
That's why political "scandals"--often so inane and often stupidly inconsequential--can have such a big impact: that perception of pressure brought about by the media or interest groups or whatever, sustained long enough, can reify itself through the actions that people think they have to start making to save face, fix the situation, capture the press cycle, etc.