Is it normal to feel an intimate connection with your same-sex piano teacher?

I was at first very sceptical of the whole soulmate idea, that there's someone who matches you perfectly, yadda, yadda. Now I'm honestly thinking there could be truth to it, because it's the only explanation I've found to this situation.
Also, I've always been straight, for as long as I can remember, so that makes it even stranger.

The first time we met... I knew she would be my piano teacher and no matter what happened, I'd never leave her. There was no doubt about it. It's as if we were two halves of the same person. As if we were destined to meet, and to learn from each other.
We didn't always work well together. She would have mood swings and I would be emotionally withdrawn, and sometimes she would be really hard on me, pressuring me to do well. At some point, I started really hating piano, only because I was frustrated I couldn't live up to her expectations.

Now, I realize I really love her. Her personality, her faults, her mood swings, her... something that clicks with me. Again, it's as if we're the same person, in different forms and bodies.
As a person I love her, definitely, maybe sexually too. When I compare the those feelings and feelings I get when I have random crushes, I see they're very similar.

Is my brain messing with me? I've always been straight. Why am I getting infatuated with her? I know I shouldn't act on my impulses, but I want to know what's happening.