New Zealand Law
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Apologies are a great way to start resolving problems, if you think that you have responded too strongly. Was there a suggestion the matter could go further?
Such as an oral warning?
That may be a disciplinary meeting at the worst but could be a please explain meeting. it would be useful to find out the purpose of the meeting (and you are entitled to know that anyway). If this is a discipliary meeting you must be given the opportunity to take a support person.
If they criticise you specifically at the meeting, that could be an issue, but it may well be a general discussion about polite discourse, so that may not be a concern
I would suggest then you ask for a private meeting with the owner and explain that you dont want to talk at an open staff meeting