I don't think it matters if your yelling was justified, or if her little conversation was justified.
You should apologize. Not because you were wrong, but because you feel bad. The simple act of saying "Hey, sorry I lost my temper the other day" would relieve you both of guilt and put both of you in a great mood. And it is almost guaranteed she will be more conscious of holding up the line with her small talk.
Do it, it will feel great.
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