Hello Dessa
I personally believe if a brother is out of line in public and an offense or remark is made that is personally offensive, this can and should be made publically known to have caused objection or hurt. That is not only the correct thing to do it is also provision for possible deeper understanding if the outcome is positive.
It is difficult to be vulnerable and say you are hurt (for me) and I believe it is necessary to make known that a comment or criticism is too personal if hurtfully received because it may be unintentional that offence be taken and matters may be cleared up.
There is such a thing as "perceived" injury where there is no hurt or injury intended at all. Where offense is obvious, direct, hostile and intended as slander it should be made known I believe to have been such and if the offender can acknowledge their offense and repent then all and well. If not, then I believe to win any arguments through debate will just bait hate and the Beast within if the motives on either one of the contending sides is unforgiving or resistant to correction. In that case turning the other cheek is better than waging counterproductive wars.
Being right for its own sake is not worth the effort but change through honesty, vulnerability and humble acceptance that we are all here to learn grow and encourage one another is worth our participation in these virtues that are pleasing to Christ Who is first and foremost.
Just my thoughts.
Peace to you
Arcturus