So she put in front of my eyes Beethoven 's first sonata. I don't particularly like that piece nor do i hate it , and it is definitely within my abilities but I just hate practicing it, I don't really have any passion for that piece at all.
I've heard from my teacher that playing a piece WAY WAY over my skills could harm the techniques I already have...I dunno if she said this to discourage me from trying Lizst etudes but at least thats what she says .
You could always learn the Beethoven sonatas you like (under your own steam) alongside your main pieces (without telling the teacher - he! he!).