Sturgeon, who has been a critic of Donald Trump, said she would agree to meet the USA president and try to build on the already strong relationship between Scotland and the United States.
The First Minister indicated that rather than being settled by the courts, the matter should be decided by politicians.
He said: "We agree with the Prime Minister that now is not the time for a vote, but if the UK Government's intention is to try and indefinitely block a referendum that would be utterly undemocratic and unsustainable". But Sturgeon revoked his honorary status as a business ambassador for Scotland in 2015 after he proposed a ban on Muslims entering the United States.
"Ultimately, I hope that it can play some part in delivering a fair and lasting peace settlement for both Syria and other areas of conflict around the world - a settlement which is shaped by women as well as men", she said.
But the first minister of Scotland said in an interview with The Associated Press that she also strongly believes it's important "to stand up and champion values that we hold dear and not allow a diplomatic silence to get in the way of doing that". His corporation owns golf resorts in Scotland.
During her hour-long talk Tuesday, Sturgeon also discussed Scotland's priorities in tackling climate change.
Scottish Labour business manager James Kelly said: "Even on a foreign trip Nicola Sturgeon can't stop campaigning for another divisive independence referendum".
'Get Out' Leads Revamped MTV TV And Film Awards
Now, after a quarter century of giving out its Golden Popcorn bucket to the best of movies, MTV will celebrate TV too. Workaholics alum Adam Devine will host this year's inaugural MTV Movie & TV Awards, the network announced Wednesday.
In related news, BT has signed a new Power Purchase Agreement (PPA) worth £185m, over 15 years, with a Scottish wind farm to further support the provision of new renewable energy in the UK.
A joint agreement committing the Scottish Government and the state of California to work together to tackle climate change has been signed.
Professor Nick Barber, an expert in constitutional law from Oxford University, said: "The legal position is not clear, but I would take the view that the Scottish government could hold an advisory referendum on independence". "Today's meeting strengthened our relationship with the Government of California and I'm confident we can work together to achieve the targets set out by the Under2 Memorandum of Understanding (MoU)". "It's in our mutual benefit".
"We've written the letter, we'll wait for the formal response and we'll set that out in due course", she said.
"It is good to see climate action high on the agenda of Scotland's first minister on her trip to the United States", Lou Leonard, WWF-US's senior vice president for climate change and energy, said in a statement.
In fact, it will be interesting to hear what Donald Trump has to say in regards to an independent Scotland, for he has been singing the praises of Brexit, which Sturgeon is using as something of a bat to beat the UK Government with in her desire to make Scotland independent. "But I want that as well as trade within the (EU) single market because that is so important to Scotland's interests".
Her speech to the UN meeting coincided with the announcement that £1.2m would be spent on training women from Scotland and other members nations in matters of mediation and reconstruction after the devastation of war.