She said many who voted to leave the bloc want the UK to wrestle back control of its borders, laws and finances from the EU.
Dewberry, a former Apprentice winner, said: “I am getting fed up with Brexit getting the blame for everything.
Dewberry is fed up with talk of hard or extreme Brexit
We hear about extreme Brexit and hard Brexit, I am fed up with it
“We hear about extreme Brexit and hard Brexit, I am fed up with it.”
Her comments follow reports that Theresa May has demanded that Cabinet minister’s must “keep quiet” and accept a softer approach to negotiations with the EU.
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The Prime Minister campaigned internally for a compromise aimed at securing “a deep and special partnership” with the bloc but had to grapple with Brexit-backing Tories to secure their support.
Dewberry added: “We were asked a question, do you want to be in the EU? Yes or no, my personal choice was no thank you. So I voted out.
Dewberry got annoyed with fellow panelists and claimed voting Brexit does not make you stupid
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“It does not make me any better or any worse, any more intelligent or less intelligent then anybody else.”
The entrepreneur was battling on Question Time with Conservative MP Suella Fernandes, shadow home secretary Diane Abbott and Liberal Democrat leader Tim Farron, among others.
Dewberry is a regular contributor to Sky News panel show The Pledge
The businesswoman’s comments follow a vicious online attack by Remainers directed at Sir Michael Caine who was dubbed “old” and “senile” after he praised the UK’s decision to leave the EU.
Some angry Twitter users even posted “RIP Michael Caine” as they attacked him for saying Brexit had given the people of Britain “freedom”.
Farron has used every possible moment to lambast Brexit
The European Parliament has insisted that Britain must meet all its financial obligations and rejected any "cherry-picking" of privileged access to the single market for sectors of the UK economy such as financial services.
A draft resolution insists Britain must meet all its financial obligations to the bloc, which some estimates have put as high as £60 billion.