This thread is slightly misleading--no mention of island bakeries?
If one is looking for morning pastries--croissants, pain au chocolate, baguette--or other pastry, even sandwiches, quiche etc--while Eden TG has great offerings for all day take out or dine in, I wouldn't drive there, depending upon your villa location, when it's likely more convenient to run to one of two Choisy (Gustavia or Lorient) or two Petite Colombe (Colombier--next to Les Bananiers, or Lorient) or two other bakeries- Carambole (in Gustavia) or, if on the eastern end of island, Chokola Vany. Yes, Robuchon tea room had beautiful offerings but it sounds like it is in transition. Our go-tos are any of the above depending upon where on island we are staying. We find parking at Lorient Choisy is often easiest.