I'd like to think that I am thinking in the universe. While the Yakuza have a different sort of infrastructure, [i]The mom rising to power and automatically knowing about the flames is something I'm not sure about.[/i] Even though she may have been smart, it's pretty clear that at this point in the anime for me, [i]regular people don't have access to make their flames just appear[/i]. Also. If you carefully study the culture surrounding the anime (also the yakuza), as well as pay close attention to how many of each gender are in the mafia, you'll see that not a lot of females actually are in the mafia/yakuza.

Applying this logic, that means that having two women rise to power is highly unlikely. No if ands or buts. I don't care that she's older than Tsuna, I care that these events are getting more and more unlikely.

Then there's the Mom's story. I can get that she's just a prostitute who can be smart. However, she had seven years to learn how to work the Yakuza, how the flames work, and get a suitable tutor for her daughter. Outside if smarts, I really don't see the sort of aggression that would be needed to hold the Yakuza under her thumb. (See: O-Ren Ishii from Kill Bill.) The Mom didn't do anything except just inherit the role, whereas I'm pretty sure that wouldn't happen.

Where would Yakuza get access to mafia bullets and pills? How could she train without these? Who trained her to be able to just entered HDWM?

She's a cool character, but the 'unlikelies' keep piling up here…