Perhaps the best place to go for a definition of what an oblate is and is not is to go to the Order of Saint Benedict (OSB) site.
In our case, the Nativity Oblates are not associated with a monastery given the dearth of and lack of proximity to Benedictine Orthodox monasteries. The Nativity Oblates are under the spiritual direction of the Nativity pastor, Fr. Nectarios Trevino. Father has read extensively and visited Benedictine and Carthusian monasteries.
Benedictine Orthodox Christian Oblates 