AI doesn't imply something got knows how complicated (as in the movie AI for example). It's just used to denote a computer simulated opponent. It may even be very dumb, playing cards randomly, and still be called AI. I have created AIs for logic games - Othelo (aka Reversi) and Connect 4, however I think for a game like LoTR TCG it will be more difficult, as the rules and game elements are more numerous.
Anyway, at the moment I am just probing the grounds, trying some stuff to get an idea what would be needed in terms of coding.