I will have to try to look up the Teshuva in the original hebrew when I have a chance since it doesn’t make so much sense to analyze the words of something when reading a translation.
But, based on the way it is phrased here, I would assume that he is talking about a technical halachic obligation and I am assuming that is what the Teshuva is about.
Rabbanim definitely encourage men to give a Get when they feel that there is abuse, and it is a perversion of Torah to say otherwise.