This cinematic treatment of prostitutes brings to mind Chantal Akerman, who was heavily influenced by Godard, and specifically her 1975 film Jeanne Dielman, 23 quai du Commerce, 1080 Bruxelles. Clocking in at three and half hours, Akerman's film is a quiet, incredibly slow-paced character study of a widow who supports herself and her son by prostituting herself while her son is at school. Jeanne is a creature of habit, and the camera documents the minutiae of her daily life. Jeanne retains the same emotional stoicism that is exhibited by Godard's characters - at least until the end of the film, where her stoicism breaks down.
I find the resemblence in facial expression + attitude most striking in these shots of Nana and Jeanne: