to me it sounds like she was looking for the reaction out of her, as a method of reassurance. It's a very odd way of going about things, but i've seen that before. In a nutshell, you're in a lose-lose situation. Indeed I'm sure you have good feelings for her, and vice-versa, but if you play into her hands it won't be a win for you. You've got to keep cool and reassure her, that of course you love her etc and she needn't worry about anything. In a way make sure you are in command of the situation, be a very little bit authoratative.
If she doesn't calm down and realise you're in it together, then there's noway she's coming to visit you... and making you both upset. Say she's being silly.