The woman who cares for Grenouille after he was rejected by Jeanne Bussie. She runs a home for orphan children. Madame Gaillard's father hit her in the face as a child, and as such she has no sense of smell and doesn't experience much range of emotion. As such, she isn't aware that Grenouille doesn't smell. Her primary concern is making sure she can afford to die at home, but she suffers the unfortunate fate of dying in a public hospital after losing her fortune during the French Revolution.
The timeline below shows where the character Madame Gaillard appears in Perfume. The colored dots and icons indicate which themes are associated with that appearance.
Part 1, Chapter 3
Part 1, Chapter 4
Part 1, Chapter 5