Lutecia is probably used to it by now, and she doesn't need to find out anyway. We're in the middle of nowhere, so while not impossible, witnesses are unlikely. In fact, hmm... To the wiki!
The "massive statue you saw from the road on the way in - a woman holding a stylized sun and moon" means that we're at the shrine of Azura, and that this is probably
Aranea Ienith, a priestess of Azura. That suddenly makes talking to her much
more interesting.
[] Talk with the woman for a bit.
-[] What brings you round these parts? Something quest related, by any chance?
-[] I totally wasn't just about to eat you, by the way. I don't do that sort of thing.
[] Take the dragon corpse back to the College.