If you feel the direction of the classes is nor working for you in the way you wanted, I think that it could be helpfull to tell so to your teacher.
I am sure she wants you to be happy with your lessons, because she is making money with them. If you are not totally happy, talk with her. Is very likely that she will try to find a good compromise between her methods and your needs.
Even in the case that your teacher don't understand your thinking or decided not to adapt the classes to what you say to her, that will help you in making a decission. Communication between teacher and student can not be a bad thing.
Now, my experience. I had 4 different teachers over the years (2 taugh me bass, 2 guitar; I had so many because I relocated myself many times over the last few years). Each of them had a different approach. At some point, I felt a bit lost with almost all of them, but in the long run I was happy with them all, and I learn usefull skills under all the approaches.
First of them, when I was just starting bass, focused a lot on technique and theory, adding some songs in the mix. He taugh me too many scales for what I needed in that moment. Some times I was surpassed by being requested to learn a new greek mode in the 3 positions everyweek, when I did not even know what was that... But in the long run they ended up being usefull, at least as musical knowledge.
Then, when I first started guitar lessons, this other guy focused in teaching me songs that I liked, little theory, but at the end, the theory came out from the songs. He told me his approach with older people (I was 33) was focusing on songs, not theory, because older people do it just for fun and their goal is usually just to be able of playing some songs they like. Whereas with kids he focused more on theory. I felt a bit like a parrot repeating things without understanding, but I was having fun so I kept on playing those songs and I got better as a player.
My second bass teacher focused a lot on teaching me how to read. Because I was slow at sight reading while playing, I did´nt developed much technically speaking, and I don't think I will ever be playing in situations were I will need to follow music sheets... but the knowledge I adquired on reading music is helping me nowadays when trying to learn new songs.
Now, I am attending guitar lessons with another guy. For the first year it was mainly learning songs (but this time more in depth, following the complete music sheets and learning the solos), and for the last few months we started to pay a lot of attention in theory. And I am very happy with that, I was in a point where I felt I needed to know more theory rather than keeping on learning songs, as now I feel I have the tools to do that on my own. Also, all the things I have learned in the past gave the tools so I can get the new information more easily than if I had never attended to those past classes. Thing I did not understood then, now start to make sense and are helpfull.