I think we need to circumvent what preaching is first. If what we mean by preaching is an every week Sunday service message in a church, then that is understandably not permissible by the bible.
I believe woman can preach depending on the circumstance. If only what we mean by preach is giving the message of the gospel to a group which may or may not include men. If a woman from the Medieval era is about to be killed by hanging by a bunch of pagans, I believe before she dies, she has the right to give the people (men, women, and children) killing her the message of Christ and therefore preach the gospel. This audience could be, in fact, a group of brainwashed Christians (Catholics killing Protestants, or Protestants killing Catholics). These are just extreme examples but nevertheless possible and justifiable.
1Co 11:3 But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God.
This is the authority structure of God on earth concerning His Church.
1Co 11:11 Nevertheless neither is the man without the woman, neither the woman without the man, in the Lord.
Gal 3:27 For as many of you as have been baptized into Christ have put on Christ.
Gal 3:28 There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus.
There is no difference between a man and a woman in the Lord for they are equal for the only thing that separates a man from a woman is the flesh and the spirit and soul are the same, and in the kingdom of God they put off the flesh and the glorified body is the same, and the kingdom of God is within them by the Spirit.
Women are equal to a man, even a man at the Church.
1Co 14:26 How is it then, brethren? when ye come together, every one of you hath a psalm, hath a doctrine, hath a tongue, hath a revelation, hath an interpretation. Let all things be done unto edifying.
But when the saints come together to hear the word of God, and worship God it should be a man to take the lead according to the authority structure of God on earth.
And when he is done speaking, and having the floor then he will turn it over to the saints and they can contribute to the service for they can collectively understand more and be edified more than having a preacher alone, and the woman can contribute at this time for they are equal to a man.
The Bible says that a women shall be silent in Church, and not to usurp authority over a man but it does not say that she cannot consider herself equal to the man, but the preacher is in charge so she should be quiet when he is speaking for if she speaks she might disrupt him, and those around her, which is wrong for the preacher is in charge and has the floor.
But they must of had a problem in that Church of women speaking when the preacher was speaking, for when the preacher is speaking the men must be quiet also, which the Bible says if they have a question then to address it at home and not bother the husband at Church, for then she is speaking and then he is speaking to talk to her and they are disrupting the service.
A woman can preach, teach, give testimonies, and do everything a man can do, for they are to preach to the lost, and tell them about Jesus even to the lost men, and can have Bible studies at their home and can teach men.
But in the Church it should be a man to take the lead, and be in charge, but if he wants for a woman to come up and speak it should be alright for she is not trying to have authority above him but it was permitted and the preacher still in charge.
Jas 1:5 If any of you lack wisdom, let him ask of God, that giveth to all men liberally, and upbraideth not; and it shall be given him.
1Jn 2:27 But the anointing which ye have received of him abideth in you, and ye need not that any man teach you: but as the same anointing teacheth you of all things, and is truth, and is no lie, and even as it hath taught you, ye shall abide in him.
And we can learn as much from a woman as a man, and the preacher does not get more knowledge from God than a pew sitter in the back row, for anybody that asks God for wisdom He gives them wisdom liberally, and does not hold back wisdom from anybody, and the Spirit will teach us the word of God, and show us the truth.
And how can the woman be silent in Church for can they not sing, and worship the Lord, and give testimonies, and talk to the other Church members before the Church starts, but of course they can, and after the preacher is done having the floor then all the saints can contribute to the service for a man and a woman are equal in the Lord.
So when the saints come together as a Church setting to hear the word of God, and worship the Lord, it should be a man to take the lead according to the authority structure on earth.
Which angels are last in the authority structure of God on earth for people will have a higher position in heaven than that of the angels, who are ministering spirits to the saints, and the angels desire to look in to the salvation of the saints because of the exalted position it gives in heaven.
If a woman meets a man from the Church at the store he does not have authority above her, and she can speak about what she knows of the Bible all she wants to him, even if it is the preacher because it is not a setting of the saints coming together where he is in charge.
The woman should not usurp authority over the preacher at Church, but she is equal to all the men in that Church even the preacher, but he is in charge.
Like the military, and the government, and business, and the school system where they have an authority structure God has one too, and keeps the women and men from fighting over who should be in charge when the saints come together.
But what if the Church is all women then it would then alright for the woman to be in charge.
As long as they do not stick a sign on their Church that says no men allowed for then I think that would be wrong, lol.