The answer to your specific question is she is out automatically if the umpire judges there was a chance to make a play on the (any other) runner. As the rule was quoted it is interference on the chance to make a play on another runner, NOT the chance to get an out on the other runner. So if there is judgement that the fielder had a chance to throw home to make a play on R1 then she is out whether it was likely there would have been an actual out on R1 or not.
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