I would agree but amazon sword womans effect states "Your opponent takes all Battle Damage that you would have taken from a battle involving this card" and clearly there would be no battle damage that would have been taken in the first place. I think this is a bug and you should not take damage.
There is a system in games like this for prevention effects being applied. The battle damage is calculated and we have a replacement effect and a prevention effect. Since the replacement effect is in place, the amazoness does the damage.
PrevEff should be prioritised higher than ReplEff because PrevEff are kinda continuous whereas ReplEff only take place in that specific moment.
Imagine your NeosFusion Monster going to be destroyed by card effect and you activated a Forbidden Dress(Prev) before. I am of the opinion that Neos Fusion(Repl) in the graveyard should not pop up because the monster would not be destroyed anyway.