Here's the passages that belief comes from.
1Co 14:34 Let your women keep silence in the churches: for it is not permitted unto them to speak; but they are commanded to be under obedience, as also saith the law.
1Ti 2:11 Let the woman learn in silence with all subjection.
12 But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence.
Everything in this world is patterned after, or prefigures, something Spiritual, which is why Jesus compared natural things to spiritual things to help people understand.
The Church is the "Bride of Christ", imagine the church trying to tell/teach Jesus, the Husband, what to do, and him having no authority over "His bride".
We know how that would end, but this same pattern of Jesus being the "head" of his bride is the same pattern for the man being the "head" of his family.
The Bride of Christ is suppose to give birth to children, born again believers, but that is only possible with a "man", spiritually, that would be Jesus, but the natural pattern would require a "man" as Pastor as well.
Same sex, woman pastor/Bride of Christ can't give birth, nature teaches that, and so does the pattern in scripture.
The lady who teaches women at our church could rightly be described as a "Bible expert".
Women definitely have an important role in church, after all, without them a "Savior" wouldn't have been born.