Sorry....you are just wrong.....with no holds barred the woman is even in a worse position.....if training and everything else is equal, the woman will still not be equal because the man will be stronger, more aggressive and will have the upper body strength that are so vital to combat....
You are confusing untrained "fights" with elite highly trained and skilled practitioners. If we take the whole gender thing out of the conversation for a moment, you are claiming that the person with the superior upper body strength will always win a fight. You are just flat out wrong.
An elite combatant does not need to be stronger than an opponent. An elite combatant, who is capable of doing lethal damage, can defeat a stronger opponent in a dozen ways -- being faster, being more accurate, having better timing of technique, being able to better read an opponent's "tells", having a faster reaction time, being able to chain, having more highly trained and ingrained flow, better adaptability, better able to read environments, being better able to control and use adrenaline.
The value of being "strong" in elite warriors is minimal. Elite warriors, the Bonds of the world, do not win fights because they are stronger. They win because they are better.