The easy way out would be too apologize. But remember if you do that you are saying I did something inappropriate. Is that what you want to do. It would seem better to nicely tell her what you did do and then apologize if that offends her. You run a risk of her being upset but you also stand on the truth. I don't think apologizing for something that didn't happen is the best way. I understand that you are trying to make the peace but it is up to you. I would state what I said and say I am sorry if I offended you. It's your decision.
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