Best leave it alone, guaranteed she doesn't have the footage anymore so now that she has imprinted you as the culprit trying to convince her otherwise will be futile as all she will see now is you when she tries to recall.
Could have been more embarrassing, I fought like cats and dogs with my sister when I was younger, she had really annoyed me, gave me a thump pushed me to the ground and ran off, I gave chase ran around a corner and there she was just standing there with her back to me, I snook up on her and gave her such a thump on the arm, not very manly but we were kids, anyway of course it was a woman that from behind was the image of my sister, even down to her hair, fuck was I embarrassed, apologized, told her I mistook her and ran off