This NPC is the first one you will challenge.
Her deck never changes, and she will give you explanations every time. This can take a while to get the two cards she drops as the matches are slow and the drop rate not so good.

You should, however, have no trouble beating her. She will always place her Chocobo in the center of the grid. You can take it with any of your cards on the left, or all except the Coeurl on the bottom, or even the Mandragora on the top!

But you have to try to think about more than one move. It's not really important with the Triple Triad Master, but it will be later on with other opponents. First, try to secure one captured card, and protect your own cards!

If you are lucky - or persistent - enough to get the Chocobo card from her, you could replace one of your starter cards by it, for example, the Sabotender.