I've met an interesting person of the appropriate gender.

They are very into dancing. A lot of swing, which is not as close as, say the Lambada, but much closer and more intimate than square dancing. They like to go dancing more frequently than I do. If we get closer, like in a monogamous dating situation, would I have the "right" to ask them to only go dancing when I go and to dance mostly with me? Or would that be too possessive? If I felt very strongly about it and they refused, should that necessarily be a "deal-breaker" for the relationship? Or would I just be being an idiot?

I like this person a lot. But I am very conflicted and confused about this. Thanks for your thoughts. This has kept me up at night.