Can I ever learn to dance?

I recently was cast in a small part in a big musical. I have a small speaking role and am in the ensemble which requires a lot of singing and dancing. I was excited about this until I started to try and learn the dancing. Oh boy, this is a problem. You see, I am slightly dyslexic especially with rights and lefts and I noticed that I get very dizzy turning. I feel like I am flopping all over. In other words, I don’t have good balance.