If your teacher has gone through some kind of classical method to learn to play he/she should be able to explain their approach to teaching classical guitar. I think a discussion with your teacher is in order. Not everyone teaches the same. My teacher seldom tells me what to do but tends to make small corrections or assign pieces that will help with a specific problem. I feel like a self-learner with a guide. At first I thought I wanted a teacher that would tell me exactly what to do but I stuck with him because he seems to really know his stuff. Now I realize that no one can ever start perfect! At the beginning it can be overwhelming to think of all that needs to happen just to play a note. I imagine it is easier as a teacher just to let the student play and gently correct the most obvious errors first. And less overwhelming for the student.
Sometimes one gets the impression on this Forum and from all the beginner lessons on the internet that there is a certain specific way one has to learn to play and then all will be right with the world. However we are all different and it seems playing CG is more about learning how to play mindfully, constantly refining technique that works best for you and the music you are trying to play. The world is neither black nor white but an ever changing shade of grey. I think maybe my teacher is helping me find my shade of grey in CG.
Having said that, the best thing my teacher has done for me is make me slow way down. I think it takes a lot of bravery from a teacher to go as slow as he has - I remember begging him to let me turn to a new page in my method book and him simply saying “No!” After more than a year of lessons I finally see the advantage of not getting new music at every lesson- there is so much to think of a beginner can never get it right immediately. For me, it is a very slow process learning to play the guitar and some of it is just playing simple stuff until my hands and fingers get flexible and coordinated enough to do what I want them to do. And while I am waiting for that magical time I am learning to teach them to play with the nicest sound I can at the moment. Which, BTW, gets trickier and trickier with each piece he assigns me.
Your teacher may have a very valid reason for letting you go so quickly through the music. If you want to slow down, though, it should be easier to get agreement from your teacher than it was for me to go faster