"What does it mean to be 'privileged' to pray the liturgy?"
It means several things. First, that the Catholic Church is the only one who has it, and we are lucky to belong to it instead of some other one. Second, it is a celebration of sacred mysteries instituted by God; we flawed mortals are allowed to witness, and even participate, in a miraculous happening. Hmm, I'd thought of some other one but forgot it :/ When I remember, if I do, I'll try and post about it- though nobody is reading this, and may never, I still like to put things down in words, if only to reinforce them to myself.