A claim of adverse possession would not be prevented by:

A claim of adverse possession requires certain elements to be met, one of which is that the possession must be hostile. This means that the person claiming the land is using it without permission from the actual owner. When an owner takes action to order the adverse user to cease using the property, this constitutes an explicit acknowledgment of the user’s rights, which defeats the "hostile" aspect of a potential adverse possession claim.

In contrast, physically barring entry to the adverse user, outing them, or giving them permission to use the property all directly interfere with the user’s claim of possession. If the owner takes these actions, it indicates that the owner is exercising their rights over the property, which can interrupt the continuous and open possession needed for a successful adverse possession claim. Since ordering the user to desist does not physically prevent the user from claiming adverse possession without necessarily being prior evidence of the owner's acknowledgment of the illegal nature of the user’s occupation, it does not impede the user's claim as effectively as the other options would.