Yes, the U.S. has now destroyed trust built up over a century that will take several decades to restore. People around the world have realized that, although Trump's term will be up in four years (probably), the U.S.'s vaunted system of checks and balances doesn't work and a similar president could be elected at any time.
However, much of the house yet remains unburned. If the Republican party, the judiciary branch, etc. make a concerted effort, they can check Trump and mitigate the damage he's doing. They might not be able to magically restore the trust that's already been lost, but they can prevent things from getting even worse.
The world is watching.