One that honours the referendum result, gives us control of our money, our borders, and our laws.
Mrs May has committed to ensuring there is no hard border with Ireland with no infrastructure, but it is yet to become clear how she can achieve this without being part of a customs union with the EU, something she is ruling out.
Theresa May arrived in Northern Ireland on Thursday afternoon for a trip to a border town in County Fermanagh, hosted by Arlene Foster, the Democratic Unionist party leader. Here are the main takeaways.
The issue is further complicated by the fact that most people in Northern Ireland voted to remain in the EU.
British Prime Minister, Theresa May is to reaffirm her commitment to a Brexit that avoids a hard border and protects the Good Friday Agreement in a significant speech to be delivered in Belfast today.
Mrs May will again refuse to countenance any backstop that creates a divide between Northern Ireland and the rest of the UK.
She also emphasised it will enable the United Kingdom to "have regulatory freedom over our services sector, which accounts for 80% of the United Kingdom economy".
If "no deal" produces a hard border, it will not be better than a "bad deal" for people living here. The justified fears of individuals in relation to the diminution of their rights.
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"They are at one because they know that global collaboration with states that are its closest neighbours - that's the Republic of Ireland and Britain - is the way to succeed in a modern economy".
Mrs Foster, whose 10 MPs prop up the prime minister's minority government at Westminster, said Mrs May would hear of the challenges and opportunities presented by Brexit.
Ahead of the visit, he posted on Twitter that "if the UK Govt (government) don't support current European Union wording on Backstop in draft Withdrawal Agreement, then obligation is on them to propose a viable and legally operable alternative wording that delivers same result: no border infrastructure".
"In that nightmare scenario, that doomsday scenario where there is a no-deal Brexit, it won't just be about our commitments, it will be about the commitment of others, the United Kingdom has given us a cast iron guarantee there will be no hard border and no physical infrastructure on the border between Northern Ireland and Ireland and we expect them to honour that in all scenarios".
It urged the remaining 27 member states to prepare for a chaotic Brexit, noting that customs arrangements, airline agreements and arrangements for financial transactions could end suddenly without any new plans being put in place.
May is still reeling from the resignation last week of former Foreign Secretary Boris Johnson, who in parliament on Wednesday singled out her treatment of the border as the biggest mistake of her negotiations with the European Union for a smooth exit from the bloc next year.
"And as they made clear this week, it is not something the House of Commons will accept either".