Going back to the original OP:
I discussed this with the state ASA rules interpreter and B3 would be skipped "for that round" of batting. If the team batted around and B3 came up the "second" time then she would bat.
Also NFHS Rule 7.1.2 CASE book situations G and H describe the play where B3 would bat again as the proper batter.
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Charles Johnson Jr
NFHS Class #1 softball/baseball
ASA/USSSA
Dayton, Ohio
I have been umpiring so long that it was called Rounders when I started.