I'm assuming that canon essentially means any of the 5 live action TV shows or any of the movies. (I know, at least while there were still TV shows and movies in production, that's what producers considered canon.) (As to if the animated series is canon, well, that's a major debate in itself.)
The Romulan Commander's name is never spoken out loud. While this is a negative that's hard to prove, all I can say is the local networks used to re-run Trek late at night and would let episodes run over the time slot so the entire episode could play out without anything cut. At the time video tapes decks were for professionals, but I had a cassette tape recorder I used to record a number of episodes, including The Enterprise Incident. I listened to it many, many times (I had no life as a teen in the 1970s and 1980s) and almost memorized it. Her name was never mentioned in the episode.
As to later discussions, while there may have been brief references to the episode (such as comments about Romulans and cloaking devices), the Commander was never mentioned again. (I watched for it!) For a series in the 1960s, that was normal for a TV series. At that time most shows made each episode a stand-alone with very little references to other episodes.
In the movies or later live action shows, there was never any reference to this event at all, much less to her name.