Something that occurred to me....? About Satine.

If Satine was getting paid so much money and diamonds, as she's pretty much the most famous courtesan in Paris, why is she still living at the Moulin Rouge? Couldn't she have used all that loot to buy a house? And why did she need the Duke to make her acting dreams a reality? Many courtesans were also actresses, and they didn't need any Duke to help them out... This is just something that bugged me the last time I saw the movie.

Opinions?