The Prime Minister admitted she gets “irritated” by the debate over her leadership as she insisted she was focused on the country’s future rather than her own.
Theresa May was also keen to defend herself against Brexiteer and former Foreign Secretary Boris Johnson who recently described her Brexit strategy as putting the UK in a “suicide vest”.
She lashed out at the outspoken for his “completely inappropriate” language.
Around 50 Brexiteers met to war-game ways to oust the Prime Minister on Tuesday evening and Mr Johnson is widely-expected to vie to replace Mrs May.
During a BBC interview to mark the six-month countdown to Brexit, Mrs May was asked if she would reassure the Conservative party she was not determined to continue her job.
She told BBC Panorama’s Inside No 10: Deal or No Deal?: “I get a little bit irritated but this debate is not about my future, this debate is about the future of the people of the UK and the future of the United Kingdom.
“That’s what I’m focused on and that’s what we should all be focused on.
“It’s ensuring that we get that good deal from the European Union which is good for people in the UK, wherever they live in the UK, that’s what’s important for us.
“It’s the future of people in the UK that matters.”
Boris Johnson faced a Tory backlash after comparing Mrs May’s Brexit plan to a “suicide vest”.
Mrs May said the former foreign secretary’s comments were “not right”.
She said: “I have to say that that choice of language is completely inappropriate.
“I was home secretary for six years, and as Prime Minister for two years now I think using language like that was not right and it’s not language I would have used.”
The prime minsiter was once described as “bloody difficult woman” by former Cabinet minister Ken Clarke, and later claimed the description as a badge of honour.
She told the programme that person is “still there”, but “there’s a difference between those who think you can only be bloody difficult in public, and those who think actually you bide your time, and you’re bloody difficult when the time is right – and when it really matters.”
It comes after Mr Johnson’s former communications director, Guto Harri, said that his ex-boss was “digging his political grave” following his recent Brexit remarks.