@MooCows St. Augustine says that God never allows evil unless some greater good can result from it. I find that hard to believe in many cases, though in the case of this election, it may well turn out to be true. We’ll see.
But allowing evil is not the same as willing evil. Just because God allowed Trump to win doesn’t mean that God chose Trump to be our president. Kings used to claim that they ruled by divine right; surely none of us believe that any more.
(Of course, many would dispute my assumption that Trump’s election is a bad outcome, but the point still stands—just because a candidate wins an election doesn’t mean the candidate is God’s chosen one.)
One can believe in Providence without denying our freedom and responsibility for our own actions. If Trump turns out to be a terrible president, we must blame ourselves for putting him there, not God.
That said, I think you and I can agree with the adage, “Do your best, let God do the rest.”