Batter's Interference or Not?

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Situation: ASA Rules
No outs, runner on 2nd base. Batter swings and misses ball and runner on 2nd is stealing 3rd. Catcher catches ball and immediately comes up and runs into batter trying to throw to 3rd to get runner stealing.

Batter did absolutely nothing out of the ordinary. She hadn't even recovered fully from missing the pitch.

I thought the catcher was trying to "draw" interference by running to batter that was clearly in the the box. No attempt to throw around batter at all. She actually came up and pushed the batter back toward 3rd base til she was out of the box.

I ruled nothing but of course I got flack. Was I wrong? Is this "automatic" interference because the batter was in the way no matter what catcher did?

Thanks,