I'm sorry for the confusion on distributing your survey. You can find more information on publishing your survey here and distributing your survey here. The first thing I would recommend checking is that you are subscribed to the Email Plus product, you can find the differences here. I'd be more than happy to do some research for you, in order to look into this further, please email the following information to social_support(at)constantcontact(dot)com.
Name of Survey:
Name of Email Invite (if you have created one):