IMO it doesn't have to be awkward. I have several male dancer friends who are very good and I do not expect to dance with them everytime I see them. Though he always says hello to me very warmly and we chat together. I do not expect socializing to lead to an invitation to dance. Sometimes we dance but often not. I respect the person's wishes. It is a complicated situation but a dance relationship is like any relationship in life. All relationships are complicated and call for subtle perceptions and a respect for the other person. I do not feel offended if a man talks to me and then dances with someone else. I appreciate the relationship we do have, even if it is just talking. And I certainly wouldn't want to make a man feel that by greeting him I am actually trying to pressure a dance invitation from him. That would be an awful way to make someone feel. If a lady has gone this far she might as well just directly ask the man to dance. At least it would be an open and honest interaction.