There is a kind of church that is called "liberal anglo-catholicism". It has a few different parts to it, but basically it means that the people who go to this church believe in some of the fancy and traditional parts of the Christian religion, but they also want to be more open to new ideas and ways of thinking.
Anglo-catholicism is a type of Christianity that has a lot of fancy rituals and ceremonies, kind of like the ones you might see in a royal wedding or a fancy ball. The people who follow this type of Christianity believe that these rituals and ceremonies help them feel closer to God.
The "liberal" part of "liberal anglo-catholicism" means that these people are open to new ideas and beliefs, even if they might seem different or unusual. They might think that it's important for the church to change and grow over time, and not just always do things the same way.
So when you put all of this together, "liberal anglo-catholicism" means that the people who go to this kind of church like some of the fancy and traditional stuff, but they also want to be open to new ideas and new ways of thinking.