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Beat accelerator isn't hard by any means, it just requires more resources and exposure then Misaka can afford, or even consider.
It's simple, you don't fight a strong force with a stronger force, you fight the the ability he has to maintain a stronger force, i.e. his human side. Stamina.
After all Misaka herself experienced near defeat from simply prolong active combat of hit and run sneak attacks.
Misaka imouto had the right idea of destroying all the oxygen in the area, but it could have easily take a gorilla approach, and slowly drain accelerator out due to mental and physical stress.
Of course it would get the whole city involved and who knows how tricky it is to maintain such a large siege on accelerator.
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