How do I carry the responsibility of telling the public the truth?

You tell people the truth, and you are only beginning to feel the full weight of what that duty demands. That weight is real, and feeling it now means you take the work seriously. Many people speak to a crowd. Few pause to sense the responsibility of being believed. People act on what you tell them. They form their sense of the world, make decisions, and place their trust based on your words. That is why the small disciplines matter so much: checking the fact, resisting the easy angle, being fair to the person you would rather not be fair to. The duty lives in those quiet choices. Let the weight sharpen you rather than freeze you. Before you publish, ask one question: is this true, and is it fair. If you can answer yes with a clear conscience, you have done your part. Carry the duty honestly, one story at a time, and it will steady you instead of crushing you.