and, as this report points out, the chances of getting this through all are fairly small:
None of the amendments are likely to succeed, however, because of the fraught negotiations with other Commonwealth countries which have to be finalised before there can be any change to the constitutional arrangements around the monarchy.
The succession to the crown bill, which will be debated tomorrow, has taken years to finalise. It ends the priority given to male heirs, so an elder sister would have priority over a younger male sibling.
It also allows heirs to the throne to marry a Catholic and ends the requirement for most members of the royal family to obtain permission from the Queen before marrying.
http://www.politics.co.uk/news/2013/01/21/royal-succession-what-happens-if-a-gay-monarch-adopts-a-chil
There are people objecting to the "allowed to marry a Catholic" bit (even Prince Charles seems to think it's a problem; some people are insistent that any Catholic spouse would insist of bringing up any children as Catholics, thus causing future problems), even though that seems very straight-forward. Just as the Church of England drags its feet on any LGBT equality, partly because of some other Anglican countries that object, I think this will get rejected as "too difficult to get all the other countries to agree".