Planting the TP deeper will not hurt it. I am surprised you haven't had herbaceous growth around the TP. TPs are ideally moved once the vegetation starts to turn brown and fall off (signal that the plant has gone dormant). And remember, they don't like to be moved once planted. It may not bloom for a year or two. Also, the root mass looks like it will be considerable. Dig the root line even with the shape of the plant with leaves. If any of the root mass separates from the mother plant, you can plant it and it should grow. Good luck.
