The Personal Ordinariate of Our Lady of Walsingham celebrates the liturgy according to those liturgical books of the Anglican tradition which have been adapted and approved by the Holy See, as well as the Roman Rite.
The Ordinariate is not a Ritual Church and, as such, cannot be principally defined by the liturgical rites it celebrates.
At present the Personal Ordinariate of Our Lady of Walsingham may make use of the liturgical books proper to the Roman Rite and those texts authorised and allowed by the Holy See, proper to the Anglican tradition.