"Monitorially" is a word in ENGLISH

Monitory.

Serving as a warning; monitory; as, exemplary justice, punishment, or damages.

Of or pertaining to the monitorial system of instruction followed by Joseph Lancaster, of England, in which advanced pupils in …

Of or pertaining to a monitor or monitors.

Done or performed by a monitor; as, monitorial work; conducted or taught by monitors; as, a monitorial school; monitorial instruction.

Giving admonition; instructing by way of caution; warning.

Admonition; warning; especially, a monition proceeding from an ecclesiastical court, but not addressed to any one person.

Communications of warning and admonition sent from an ecclesiastical judge, upon information of scandal and abuses within the cognizance of …

The last monitory, published after three admonitions and before the last excommunication.