Are we to assume that F2 did not throw because someone was in her way? Or was the runner too fast and F2 had no play and she chose not to throw? Did the ball slip in her hand and she didn't have a good grip and decided not to chance an error?
Batter has no business crossing HP. Situation did not
say batter swung at the bat. I am taking the out.

Although I will take the out on the batter and send the
runner back.