THe following is just a guess, but what I would expect the call to be.
Absolutely interference. The runner came out of the running lane into fair territory and obstructed the play. BR is out on the IF, dead ball on the interference, all runners return to their base.
Agreed that F3 did not take the best path to the ball, but the BR absolutely did interfere with the fielder making the play, though clearly not intentional. And she did so after she had been called out.The running lane is irrelevant. The BR did exactly what the rules dictate by abandoning her base path to avoid interfering with the defense's right to make a play on a batted ball. It was poor execution by F3