I don't know how close you feel to your mother (beyond these conflicts), but overall I'd say: Your dreams come first. In the end, you should always have the final say concerning your future.

I understand if you're torn between wanting to have a good relationship with your mother after all and caring about your future. But sometimes, paradoxically, distancing yourself from some people for a period of time can bring you closer together in the end.
I remember that before I moved away for the first time, the atmosphere at home was horrible. My mother constantly asked me what the hell I wanted to do with my life and that she couldn't stand seeing me slack off all the time. When I left to get my own apartment, it wasn't on good terms with my family. Back then, I thought to myself: "Screw those people, I'm going to work and support myself!" And it actually worked. And over time and some distance, we grew closer again. Now I'm closer to my mother and my family than I was ever before. Both me and my parents learnt something, my parents that I wasn't completely useless and dependent, and I that I have to take more initiative.

Maybe it will anger your mother at first if you move away to pursue your dreams. Maybe you will get into fights at first. But don't think that nothing can ever change. I'm sure that your mother is able to adapt as well.

I for one admire your ambition and wish you lots of success.