WI Fulvia won Perusine War?

What could the effects be?
Lucius Antonius is formally consul. But what might be the effect as a precedent of a Roman woman leading a Roman army and winning?
 
Fulvia wasn’t leading armies, she just encouraged men and fanned the flames of revolt against Octavian. But if she, alongside Lucius, had won the war, and that could reasonably happen only if Antony gave direct and unquestionable approval to the whole plan, than Octavian would have been stripped of power and his cause would have been lost.
 
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