Yes, the title has three meanings.
The first was inspired by all the denials of the Trumpistas of facts, like the size of the Women's March vs. the size of the Inaugural crowd.
The second is a play on Trump's still ranting about "Lying Hilary”.
The third is that we should do all we can to deny the legitimacy of Trump's election.
For more on comparison of the crowds at Trumps inauguration and the Women’s March, see https://www.nytimes.com/2017/01/22/us/politics/president-trump-inauguration-crowd-white-house.html
Denying Donald said that the rain stopped as soon as he started speaking. According to the NYT the rain continued throughout Trump's speech. Could this be a message from God expressing disapproval of Trump as President?
Not really, if Clinton had won, she would have had the same weather. “Conservative” “Christians” would have been certain the rain meant God’s disapproval of her. Liberal Christians would say “The rain falls on the just and unjust alike."
Remember the perspective, Trump came in third to a de facto "None of the Above”. One would think he would have a bit of humility. Too many people liked Trump even less than Clinton and stayed away, thus giving the election to Trump.