The UK Anglican churches are somewhat unsettled right now, because while they are the de jure center of Anglicanism, the de facto strength of Anglicanism is in Africa. In truth, the UK churches are very conscious of their weakness, and feeling a bit put upon.
That is, as the Pope extended his hand to them, it made them all too aware of their failings. For example, while about 22% (13.4m) of the people in the UK identify themselves as Anglicans, only about 1.7m (out of a population of 61m) of them are churchgoers. There are now more practicing Catholics in the UK than practicing Anglicans.
And there are nearly as many (1.5 million) Muslims in the UK...
Unfortunately, there are also now more practicing Muslims in the UK than practicing Anglicans, so the problem is more dire than just for Anglicans.