 She was appointed Officer of the Order of the British Empire (OBE) for services to art in the 2008 Birthday Honours and Dame Commander of the Order of the British Empire (DBE) in the 2020 New Year Honours for services to art and arts education.Odundo has been recognized as a significant player in contemporary ceramics, making her name a large contributor to African Art in the US during the 90's.As said by Augustus Casely-Hayford, "[She draws] on something of the wisdom and experience of the Leach, or a line borrowed from ancient European antiquity, to create a trans-global, trans-temporal visual system of her own; modern, yet simultaneously old, African yet resolutely European..."

In 2017 it was announced that Odundo would take up the role of Chancellor of the University of the Creative Arts from June 2018.