It looks like she is abdicating but not resigning, holding a referendum, election or doing anything.
Now you believe what I have been saying? It's perfectly logical consider the actual consequences of each possible decision. I'll repeat:
Canceling brexit (revoking Article 50) would obviously be a disaster for all parties involved and they know it: it would not end the division within the UK, rather the opposite, it would intensify it. It would keep the EU embroiled in that drama. It would keep people and businesses locked in permanent uncertainty.
"May's deal" failed and it should by now be obvious that it never had the support from the key players: Corbyn (and virtually all Labour) refusing it, even the allegedly "pro-EU" parties refusing it, Bercow torpedoing it. And May putting on a show of attempting concessions after being refused again and again, transparently burning time.
A new referendum is nearly as politically suicidal as cancelling brexit: deciding the question(s) would be divisive and leave a number of malcontents, the result is uncertain, and the only possible result that might pacify the country would be a confirmation of leave. If remain (assuming that it was again leave versus remain) won in a new referendum, there would immediately be cries for a third referendum. Leave winning again would shut up the remainers once and for all I guess.
Calling a new General Election now is suicidal both for the Tories and Labour. Brexit would be the central issue and they would be forced to take a side, both are too split for that. So neither actually wants an election
prior to brexit being done with.
There is zero chance of brexit being just canceled. Even those openly for remain covered their attempt to reverse brexit with a plan for a new referendum. An idea that also failed.
A General Election before brexit is suicide for both Labour and the Concervative Party.
That leaves May's deal, which is also a disaster in the making and will get broken. Or exit on the correct date, and end to this drama and opening
new negotiations on
new terms (because automatically the situation regarding the "irish border" and the "exit payment" changes: the EU's red lines collapse). Talk of an extension is just part of the blame game. May does not actually want an extension, she's just a fine actress I believe. And the EU side is work out and does't expect to gain anything from one. Notice what those speaking for the EU on this stated about an extension, and then what May asked for in that letter:
the agreement would have to be "fundamentally different ... in terms of substance"
Which is no more than the truth of what happened (and Bercow helped with that). The EU asked for the impossible given the recent votes in Parliament and the political situation in the UK. Deliberately. And May answered with the unacceptable. Deliberately.
@Silurian, you have been deceiving yourself and letting yourself be played in this game.