Best chance of a female leader in the Axis?

Just to toss out a different idea, you did have a woman leading the British Fascists (Not to be confused with the far larger and more successful British Union of Fascists) but you would probably need ASB intervention to actually give them a realistic chance of getting into power considering how badly the party and its leadership failed in OTL.
 
Short of China i think the best chance to have a male Axis leader who's wife is the true power behind the throne and this state of affairs is an open secret amongst the party upper levels, too. Then have him be assassinated by some EVUL traitors to the state ;). In such a situation the momentum of the outrage and outpouring of popular support might enable her to take over officially. Especially if it just so happens that whoever grumbles the loudest about a woman in charge is being found to be complicit ;) .
 
An Axis Argentina where Eva Peron still rises to power is a possibility, but Argentina in the Axis is still unlikely because of (1) an Anglophilic elite and (2) the surely furious reaction of the Colossus of the North.
 
While it's not quite what the OP had in mind how about a scenario where Svetlana Alliluyeva had a much, much better relationship with her father, Joseph Stalin(in which case she'd still be known as Svetlana Stalina), stayed in the Soviet Union instead of defecting, and remained active in the Party. By the mid to late 70s she could've become a full member of the Politburo and by the early to mid 80s has enough support to be chosen General Secretary after the death of the male incumbant.
 
Axis win TL?

Female_HITLER_by_Michiochi.jpg
 
I stick with an unlikely German possibility who is at least not a cartoon:

Reichschancellor Hannah Reitsch after being named head of the emergency ruling council of the NSDAP following the assasination of Adolf Hitler. Ms. Reitsch had used her long relationship with Hitler to bolster her position in the inner circles of the Party Leadership, eventually leading to a situation in which she and a few trusted aides were able to sieze effective control of the Party during the purges of 1943-44. Although a political novice, her ruthless drive, Aryan charms, steely courage, and popularity gained from years as the Reich's most famous test pilot, made it surprisingly easy for her to work her way into the male-dominated leadership of the NSDAP. As the war turned against Germany, anti-Nazi elements within the Wehrmacht saw her as a potential ally in their efforts to end the war by negotiation. They were sorely mistaken, as Reitch proved to be a more ardent and fanatic Nazi than Hitler or Himmler. On her orders, all potential "defeatists and false-Germans" involved in the peace effort were rounded up and executed. She was captured by the Soviets during the battle of Berlin in February 1946, reportedly attempting to flee the city in a Focke-Angeles helicopter. She was tried at Nurnburg and executed. Her last wordes were, "Long live the memory of Adolf Hitler and the eternal dream of National socialism"

170px-Bundesarchiv_Bild_183-B02092%2C_Hanna_Reitsch.jpg
 
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