In a congregationalist church, who is in charge and what does this imply for women in authoritative roles?

I'm relatively new to attending a Baptist church and one key difference is the idea of the Church Meeting, whereby members vote on important issues including appointment of a minister/elder. My understanding is that this is an expression on Congregationalism (https://en.wikipedia.org/wiki/Congregationalist_polity , https://en.wikipedia.org/wiki/Congregational_church) Does this mean that in real terms, a church's leadership (pastors, ministers, elders) are not the main authority - if we drew a hierarchy diagram we would see the congregation at the top, directly above the church leaders? Does this in turn have any implications for the role of women in the church - assuming the church holds to traditional complementarian views of course? For instance, one common view of "a woman should not have authority over men" allows a woman to preach under the authority of the (male) elders (I do not know if this idea has a specific name?) If the congregation is actually the highest authority, then logically it sounds like this argument could be extended to allow female elders because actually, even the elders are under the authority of the congregation.