Now that you’ve watched the clip (and chortled I trust), let me offer this definitional reminder: satire is a form of communication using irony and sarcasm in which folly and vice are exposed and ridiculed.
It’s aim is to make you laugh, then to make you think. It can be done poorly or unwisely, but when done well, it uses wit as a noble weapon. Few Christians have thought carefully about the do’s and dont’s of satire. More should.
This particular scene is, as the kids say, LOL. You don’t have to see it as a blanket statement about the Church of England to see that this is good humor with a point.