Having several relatives in the Old Country, the problem isn’t the Pope - it’s our beloved[/sarcasm] President using a misquoted passage to advance a political agenda, as well as to distract from some of the problems arising from his administration - for example, the Hostage Crisis, and the utter refusal to even try land reform (which shouldn’t be surprising, as his family owns one of the country’s great estates).
This is caused in part by tensions that have accompanied the development of the country, namely between the urban elite (who tend to be more liberal and Western-oriented, not always in a good way - this also includes the Diaspora, many of whom now have voting rights, and are influenced by the Global North’s view on social issues) and the masses (who tend to be socially conservative, especially the peasants.) President Arroyo, being a Christian Democrat, was of course beholden to the Church and the voters who still take religions seriously, and her predecessor, Estrada, depended greatly on the votes of the masa (common man), who, as we’ve said before, tend to have a generally good opinion of the Church. The present President, however, has a significant amount of his votes from the urban middle and upper classes - precisely the demographic that would support something like this.
Also, the fact that the President can try to ride roughshod over the Church is helped by the fact that he is elected to one, nonrenewable term of six years - so basically he thinks he can do whatever he wants, because he doesn’t have to face the voters ever again. That, and he’s trying to pander to the younger, well-heeled members of the Diaspora, who live in countries like the United States, and in areas that tend to be socially liberal (notice he made the first move in America, not in Manila).
So yeah, this isn’t the Pope’s fault. If you have to blame anyone, blame the elites and (shocking, I know) the Americans.