The use of the word, "democracy" is no accident. She knows good and well that we are a constitutional republic.
It started with Woodrow Wilson and his "make the work safe for democracy" pledge. "Democracy" sounds good to people that are too lazy or too stupid to study government and politics, or fail to realize how the real world works.
"Democracy" sounds good to people that desire to keep everyone equal and on a level playing field. "Democracy" sounds good because it has an empowering effect on people that want to make a difference.
"Democracy" sounds good to people that don't want their vote watered down. They look at a republic as an entity which destroys their rights and a hindrance to freedom.
"Democracy" is a word that most politicians use because people have been conditioned to think that is our form of government.
When most people hear the word "republic" they think the opposite of "democracy." They feel that a "republic" is designed to destroy the will of the people rather than protect the rights of the minority.
"Democracy" is a good word to use if you want to deceive the voters. A deceived voter is easier to manipulate than an educated one. A deceived voter is happy as long as they are on the winning side. Heck, we all are happy when we are on the winning side.
However the deceived voter howls the loudest when 51% of the voters [the other side] vote to take something away from him.
People would rather believe a beautiful lie instead of the ugly truth. Nooki Haley is the kind of woman that will look at you and say, "I just had sex with him. It's not like I really love him. You can still trust me."