Well, I'm always honnored and happy, when a girl or a lady asks me to dance and I would never refuse any, no matter if she dances well or not. Unfortunately in my country it is still very rare for ladies to ask men and many of girls think that's improper. Of course I don't agree with this opinion and I always try to convince girls to be more courageous.
Though I'm rather a good dancer and I'm convinced of my abilities I don't feel confortable to ask to dance girls I don't know. So I'm delighted when a girl asks me and I hope this custom will become more common also in my country:)