The work of CHRIST has removed all human distinctions of privilege (Gal. 3:28). And every believer, whether male or female, is a priest to GOD (Heb. 13:15). As holy priests (1 Pet. 2:5) and royal priests (1 Pet. 2:9), we can worship and witness all we desire.
But as in the home, men and women are given distinct roles in the church. Church order, like chronological or alphabetical order, has nothing to do with importance. It has been established by GOD so "all things [are] done decently and in (according to the) order" (1 Cor. 14:40).
Men are to come to church meetings prepared to function publicly as the SPIRIT leads, representing GOD to the assembly in the ministry of the Word (1 Pet. 4:10‑11) or representing the assembly to GOD in prayer and praise. This is to be done carefully so everyone can add "Amen" (1 Cor. 14:16).
The women are free to speak to the LORD all they wish, however they must do it silently. (They are only silent as far as we are concerned — GOD hears them, as HE does the men who are praying silently). Thus, the women have free access to pray and worship as the men do, but are not to usurp authority from the men or act in the church as a representative (1 Cor. 14:34; 1 Tim. 2:11‑12).