I wonder if this vaccine "emergency use authorization" will still be allowed if there is no emergency. This short-term side effect may be already known, but how about the long-term effect?

This doesn't seem right. Vaccination should be a personal decision, but "pushed" could mean more of a persuasion. Nothing wrong with persuasion, not with coercion.

Because free will matters, even if the vaccine is proven 100%, forcing people to take it is still wrong.