From Fencing Wiki - Powered by Fencing.Net

What is a Distance Parry?

It is the short and often confusing name for a commonplace action. An attacker can carry Right of Way until the end of their initial attack. If the attacker finishes their initial attack and misses (becaues it was adeptly avoided by the defender using carefully timed footwork, or the attacker simply can't hit the broad side of a barn), the defender then has a chance to immediately take Right of Way by making an attack of their own. This process by which the defender pulls distance causing the attacker to miss and then immediately seizing Right of Way is often referred to as a "distance parry" and is not an actual parry.

In terms of refereeing, there is no such thing as a distance parry. The proper referee call would be "Attack - No; Attack - Yes" as the first attack failed and then the new, proper attack from the other side landed.