Sic transit gloria mundi.

I see by articles linked at Anglican Mainstream that this is not a vote which enacts the bill as law.  It moves it a step along in the process.  What hope is there that this will ultimately fail?

Katherine, the House of Lords can in theory reject the bill, but is unlikely to do so.  Even although the largest group there are crossbenchers, ie independents, there is a deeply held tradition that the peers only vote down the legislation of the lower house if it contravenes the constitution.  You might be surprised to hear that we have one; it is ‘unwritten’ ie has accrued by convention, precedence and recognition.

Addendum:  of course, Katherine, the Queen could in theory refuse to sign the act which brings the legislation into law.  But the monarch would never act contrary to parliament’s expressed wishes.  In cases like this her largely symbolic role as governor of the Church of England is meaningless.