Who are the real Princesses of Andorra?

since the heads of state of Andorra are Co-Princes, the President of France and the Bishop of the Spanish Seu d'Urgell (See of Urgel), then IF either of them were married, their wives would be "princesses"--and since Bishops (and priests) of the the Catholic church cannot marry, that leaves French president Nicolas Sarkozy's future wife (Carla Bruni, possibly) as the possible next "princess" for Andorra