Time Compression
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This is likely to result in a draw (due to the time limit), but...
R+0) She sheathes her scimitar, and moves to 90N35E.
R+1) She double-moves to 90N95E.
R+2) She reloads her crossbow and moves to 60N95E.
R+3) She fires, and moves to 30N95E. (And I hope she hits, or it's a draw)
R+4) She double-moves to 30N35E.
R+5) She reloads and single-moves to 30N5E.
R+6) She double-moves to 90N5E.
R+7) She fires, and moves to 90N35E. (And I hope she hits, or it's a draw)
R+8) Return to R+1 and repeat until (a) coin-scorpion is dead, (b) it has obviously predicted the move.