"Papa Francis is in a lose-lose situation...."

Not really. No pope wants to go against other first millennial churches -- none of which have opted for the ordination of women. (It is different with the Reform Churches -- Lutheran, Anglican, etc.; they are not first millennial.) The CC could, of course, opt for it on its own, at some future Vatican III Church Council; but even at an Ecumenical Council, I doubt any of the CC delegates would unilaterally want to move in that direction, without Orthodoxy.

Regarding the Anglo-Catholics in UK: they are so tiny, those who truly follow Rome (and we are not talking about Anglicans who dress up in Catholic costume, liturgical vestments, etc. but permit same sex partnerships among clerics, etc.), that it really makes no difference. People like Bishop Philip North are rare. The UK Anglican Evangelicals, however, are more powerful, have money, have ear of the bishops, are quite Protestant, and count. That is what I found in UK earlier this year.