During an interview special ahead of the General Election, the SNP leader was quizzed on what she would do if Theresa May, if the Tories win the vote on June 8, refuse to grant Scotland an independence referendum.
However, instead of giving a straight answer to the BBC veteran’s question, Mrs Sturgeon decided to crack a joke at Neil's expense.
Andrew Neil said: “The Prime Minister says there won’t be a second referendum on your time table. If she wins and sticks to that, what will you do?”
To which Mrs Sturgeon responded: “Look, let’s give the people of Scotland a chance to have their say in this election on June 8.
Nicola Sturgeon’s joke about his age didn’t appear to amuse Andrew Neil
"You’ve covered Scottish politics for a long time. I was going to say probably longer than I’ve been alive but that would upset you midway through an interview.”
Shaking his head, Mr Neil said: “Not really, I’d just like you to answer the question.
“What will you do if the Prime Minister does not grant you a referendum?”
Mrs Sturgeon said: “If the SNP win the election on June 8 in Scotland, and I’m taking nothing for granted, but if the SNP win the election, having won the Scottish election last year, then I think that position of the Prime Minister is unsustainable.”
You’ve covered Scottish politics for a long time
She added: "We've seen in the last few days that this is not a Prime Minister who's very good at holding position when she feels it's under pressure.
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"She's a Prime Minister that has seemed to perfect the art of the U-turn."
During the interview, Neil also confronted the First Minister about her independence dream and demand to be included in the Brexit talks.
Neil said: “You say a vote for the SNP will strengthen your hand in the Brexit talks, you’re not in the Brexit talks.”
To which Ms Sturgeon replied: “Well you know what, we should be and as should Wales and so should Northern Ireland. The Prime Minister has brought about this election, that gives the people of Scotland the opportunity.
Nicola Sturgeon's comical moments on the campaign trail Mon, May 22, 2017 PA 1 of 13
SNP leader Nicola Sturgeon stops for an ice cream after making an election campaign visit to Scottish Gas HQ in Granton, Edinburgh
“And I’m saying to people in Scotland whether you voted Leave or Remain, whether you voted Yes or No in 2014, this is an opportunity to strengthen Scotland’s voice in these Brexit talks and strengthen the influence we have in terms of the positions the UK Government take.”
The BBC veteran then pointed out it wasn’t just Theresa May who didn’t want her interfering in Brexit talks, but also Brussels chief EU exit negotiator Michel Barnier.
Neil said: “But Mrs May doesn’t want you in the talks, and Mr Barnier, the lead EU negotiator doesn’t want you in the talks.”
Mrs Sturgeon, however, insisted even the Scottish Tories believed Scotland should have a voice in the upcoming exit talks.