It is ultimately up to the people to decide which side of the story to believe. All the usual heuristics apply: Do they have a history of lying? Are they acting as if they're trying to save their own asses? Did they just casually forget to mention a piece of information that happens to contradict their argument?

Governments are often so awful at passing this test that even when they're telling the truth, a lot of people would rather believe crazy conspiracy theories. This is especially problematic in countries with a recent history of dictatorship like Taiwan and South Korea. If Ms. Tang can instill in her ministry a culture of responding quickly, effectively, and earnestly to current issues, that would be a major contribution to the public discourse even if the government isn't always truthful.

Also, this is Taiwan, not PRC. Very different government.