May recently denounced a second referundum on Brexit negotiations, saying
Let us not break faith with the British people by trying to stage another referendum, another vote, which would do irreparable damage to our politics. Because, it would say to millions who trusted in our democracy that our democracy does not deliver
I find her position odd because the number 1 person in the UK who's bearing the burden of Brexit is May herself. The negotiation process she has lead has been problematic so far. It then stands to reason that if a second referendum was held, it would lessen the burden on her, provide her a getaway from this mess.
What more, May was actually opposed to Brexit from the beginning, which again ought to suggest that a second referendum would be more in line with her interests.
And yet, she opposes it. Why? My question is, what are the actual, political reasons for why May would be opposed to a second referendum?