I’m a leftist and I have nothing against managers. I have been one. There are lots of people who have no business being in any position of authority or responsibility, and those are the people we all have problems with, not the job or title.

Yes, apologize. Extend an olive branch. If she’s one of the genuinely great people who have found their way to management, then show her some courtesy and it will pay dividends for both of you. Generally speaking, being courteous, empathetic, and constructive is always the best first approach.