Illegitimate

Yes, that's my conclusion.  For many reasons.  First, there is the Russian interference, which is under serious investigation as to its extent.  Then there is the popular vote, with Clinton gaining 2%, almost 3 million votes, more than Trump.  Then there is FBI Director Comey's interference in the campaigns. And, finally, there are Trump's lies and his flaunting of campaign norms of releasing his tax returns and divesting his holdings.  No he is not legitimate.
Yes, he won the Electoral College vote.  And perhaps we must play out this obscene charade and of democracy by rule of law. 
If Trump wanted to bring the country together and move us forward, he would have managed his transition entirely the opposite of what he's done.  But, no.  This is continuing his illegitimate power grab. 
We will have a Constitutional crisis within two years.  If the country and planet survive long enough.  What a rpice the Republicans have paid for power.