Cléo's scampering pets are a charming distraction from the story in the same way Cléo is treated (and portrays herself) -- an amusing plaything, graceful, soft to touch. Her potential illness is what worries her on the surface, but as she turns for support for the black period ahead, she discovers the meaninglessness of her present relationships. She has a maid who doubles as a resentful mother and lectures her that men don't want to know of troubles or illness. Her songwriting team doesn't respect her. (Did you catch her song titles? "Wayward Girl." "Inconstant Girl." "The Girl Who Lied.") Her inattentive lover visits to handle her for a moment just like she petted her little cat. She's a creature whose material gains are based on fleeting qualities -- youth, beauty -- and whose happiness is marred by fear of not pleasing others, of not keeping their attention. As soon as she tears off that ridiculous wig, she's a changed person.
I read a little about New Wave Cinema for a background to this film, and in "A World History of Film," Robert Skylar writes: "New Wave films in general are open to criticism for disdainful treatment of women characters." He goes on to cite a couple of examples from films of the time, but needless to say, Varda's films aren't among them.