This painting is one of the most famous by Peter Paul Rubens🎨 (Flemish Baroque Era painter, 1577-1640) in the Collection of the National Gallery, London.
The title 'Le Chapeau de Paille' (meaning The Straw Hat) was first used in the 18th century. In fact the hat is not straw; 'paille' may be an error for 'poil', which is the French word for felt.
The hat, which shades the face of the sitter, is the most prominent feature of the painting.
The portrait is probably of Susanna Lunden, born Susanna Fourment, third daughter of Daniel Fourment, an Antwerp tapestry and silk merchant. Her younger sister Helena became Rubens's second wife in 1630.