What kind of therapy are you doing?
In psychoanalysis, yes, the therapist (analyst) would not share their emotional reaction.
In basically all other forms of therapy, the therapist would certainly share their reaction. That's part of the therapy: we are free to say whatever, but we also learn what kind of reactions those things we say cause in other people. It's safe to do that in the therapist's office.

I don't think you should apologize, but I do think you should look at this from another angle: your therapist received what you said as anger. You did not feel that you were feeling or expressing anger. That's curious and something to look at. Is this a frequent thing? That you send anger signals without consciously meaning to? What were you feeling instead of anger? Where else might this be happening in your life?

Your interaction here is so so similar to my experiences with my therapist. And, I've learned a lot by being curious about hurt feelings and about my feelings and the emotional signals I'm giving off. I am VERY reluctant to acknowledge when I feel anger. But, it turns out that I send "I'm angry" signals to my T a lot without my knowing that I'm doing so.