Not sure how it works, and if women are not allowed to become Shogun in Wano, it might be the case sadly.
I think the next Shogun in charge will presumably be Kin'emon by the way the story seems to be aligning. I claimed it long long ago even stating how Kin'emon was probably not dead right after being hit by Kaido because his future role might of been the one of Shogun. In fact that panel never convinced me extensively and I think some PIS was probably in act.
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Momo will probably be a future Shogun, but he might not be deemed old enough now.