This is a ridiculous thing to say. She has repeatedly said that she sees it as her duty to deliver Brexit. She's doing that. This whole time she hasn't done a single thing that would indicate otherwise.
She voted to remain but said she would deliver (her version of) Brexit as it was the will of the people. She then made it clear in her speech in Florence, that she would keep the UK in the EU. It was reported Merkel confirmed that May said that to her.
What she is trying to do (and not very well) is to hoover up the Labour heartlands as they are the ones who want don't want immigration. In the UK, people vote for what Labour or the Conservatives will offer them at that election, which is why many of us have voted Labour and Tory. It's not like the US, well not like I see on here at least, where some of you seem to have a hatred of the other party. There may be some old people who are fixed in their ways and would never Labour/Conservative.
Just about every debate with MPs from all sides, accepted that the working Labour voter voted to end immgration and the working Conservative voter voted for what is best for the economy.
If you look at May's version of Brexit that she wants MPs to accept, the UK stays in the EU, but free moverment ends and some of those already in are banned from the UK, as many other EU countries are doing from their EEA country anyway now e.g. Gemany bringing in their "whoever lies, flies" law to ban those on free movement for 5 years.
With so many anti-uncontrolled immigration governments in the EEA countries now, joining together to change the EU from within, and Merkle who championed free movement, being thrown out of power in Germany, we don't know what what will happen in the future. Austria, on their 6 months rotation as EU President, asked the other countries to think about whether free movement was worth it. The President of the European Parliament standing down to run for leader of Germany, but getting the worst result his socialist party has seen for decades... It's all changing.