The softball rule is irrelevant. The OP posted the play here to learn the baseball ruling on a comparable play. I would invite further discussion of softball plays to move to the softball forum.
In baseball, it's interference. The only exception to the "fielder has the right of way on a batted ball" provision concerns a fielder who misplays the batted ball himself:
"A fielder is not protected, except from intentional contact if he misplays the
ball and has to move from his original location." (8-4-2g)
The deflected ball is still a batted ball, and the runner must still avoid contacting or otherwise interfering with the fielder.
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Cheers,
mb
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