[meric]

Definitely. A student doesn't apologise for losing some marks in an exam either. It's part of the process to get better at dancing. You're not advanced dancer, and the other partner can accept that, or she wouldn't dance with you in the first place. Apologise when there's no need to smells of supplication. I think the only situation where it's suitable to apologise was if you were dancing and you accidentally made a movement that appeared like you were sexually harassing her. (e.g. I don't know how it would happen, but if you accidentally cupped your hand around her breast and squeezed it in a really pervy way, and that action isn't her expectation, then it's time to apologise profusely), or if you kicked her in the leg and broke her ankle. Depending on how she reacts, I'd apologise in either a humorous or serious way.