title says all.

I would have recognized her as legitimately as Barrack Obama.

Is the Pope Catholic?  Is the President American?

I would have recognized her in the same manner that St Thomas Moore said he would recognized one of King Henry VIII's illegitimate children as monarch if Parliament would make the appropriate declaration in "A Man for All Seasons."

No, because of all the proven voting frauds such as vote flipping via
electronic voting machines.  Illegals allowed to vote.  You did not have
to prove that you were a citizen of the U.S. by showing a I.D. card and
Drivers licenses.  Forging dead people's ballots. Dishonest people
voting more than one time.
The Democratic operatives worked very hard to steal this election.
If the voting was honest. I believe that Trump would won 75% for him
and 22% for Hillary. 3% for third party candidates.  
However, there would be no riots or people dragged out of their
cars and beaten up by the mobs like what is going on by the Leftwing.
Mostly highly paid George Soros Operatives. And brainwashed college
kids that have been radicalized by their Jєωιѕн Liberal Professors and
Teachers.

And school children in high school and grammar school are having major zombie meltdowns))

I have read that 43% of the electorate did not vote. So it's fair to suggest that 43% would neither acknowledge not only Clinton but also Trump as it's president. I also wonder if this 43% decided not to vote for evil at any cost - whether lesser or greater.

I heard in a sermon it is a sin to not to vote if your absent from the polls
causes a greater evil to win, and Hillary is evil. Trump is not perfect and
and has flaws.
Every President from George Washington to Barack Obama are not
perfect and are flawed. Obama is the greater evil because of his support
for abortions, ɧoɱosɛҳųαƖity, and ordered unjust killings and wars.
If Hillary would have won, greater evils would have happen. Possible
WW3 with Russia over her support of a no fly zone over Syria.
She said that religions that opposed abortion have to change there
teachings. And, she support all the programs of Obama.
America has never been a Christian Nation thanks to the Anglican
schism of the 16th century.  Even if we were, it would have been
destroyed by Vatican 2. American has been a primary a Jєωιѕн-
Masonic Nation from the first.
At the end of the American Revolution, the first thing George Washington
did was go to Rhode Island, the ѕуηαgσgυє in Providence. And thanked the
Jєωs for all the money contributions for America to win the
Revolutionary War.

Though I'd have been disappointed in the extreme, I would have recognized the will of the people and just tried to ignore anything and everything concerning her as much as I could.
Kind of how I deal with Jorge Bergolio.