Other considerations can come into play, even in a “he said, she said” scenario - things like the relative credibility of the accuser/accused’s stories, history of similar conduct, etc. Not saying that stuff would resolve this case (we don’t know enough to say), just that your approach would effectively de-criminalize large amounts of criminal behavior.
To be clear, other evidence becomes the equivalent of other witnesses, e.g. a video recording or evidence that disproves the claims of the accused and proves the claims of the acuser.
If all you have is your word against another person and you are the acuser, you have no case. And in this case, the broken table doesn’t help much. Glass tables are easy to break with the right hard object. Just drop a skillet on one.
So what would be enough evidence to corroborate her story?