What type of cheese is characterized by its edible white rind and soft oozy texture?

The type of cheese you're describing is likely a bloomy rind cheese.

Here's why:

* Edible white rind: Bloomy rind cheeses develop a white, velvety rind made of edible mold. This mold is actually beneficial, giving the cheese its unique flavor and aroma.

* Soft oozy texture: These cheeses tend to have a soft, spreadable texture, especially as they age.

Some popular examples of bloomy rind cheeses include:

* Brie: A classic French cheese with a creamy, buttery flavor.

* Camembert: Similar to Brie but with a stronger, more pungent flavor.

* Triple Crème Brie: A richer, creamier version of Brie with a higher fat content.

* Chèvre: A goat cheese that can also have a bloomy rind.

Let me know if you'd like to explore other types of cheese!