If the lady has sent a message, then you should complete the quest, gain one relationship point, have the opportunity to recite one poem, and receive the following line:
"Ah {playername} - you must have received my message. How happy I am that you could come!"
If that doesn't happen, there's probably a bug somewhere, or (if you're courting two ladies) you may be visiting the wrong one.
What dialog do you get? (Exact wording, if possible).