In 1 Timothy 1:3-6 Paul instructs Timothy to keep the church in Ephesus focused on what is essential. They must not teach or pay attention to strange doctrines, myths and endless genealogies that turn the members away to fruitless discussions. Things that my be interesting and set their minds into motion but only lead down a rabbit hole of endless speculation and discussions. A pastor should lead the church away from what takes our focus from the essential: the plan of God, which is by faith. That which advances the plan of God. This focus has the desired outcome of a people who have love from a pure heart, a good conscience and sincere faith.

In 1 Timothy 2:1-4 Paul exhorts Timothy and the church to prayer. Prayer precedes everything else in a church's life. The prayer of the church should be on behalf of all people, including those in authority. This reflects God's heart for all humanity. Though the authorities of the Roman empire included an autocratic, all-powerful Caesar with governors who were mostly debased unbelievers and invariably brutal in their taxes and repressive might, they were to be included in the church's prayers. We pray for our rules, no matter how corrupt or unaligned they are with our faith. 

Paul uses four terms to cover the broad spectrum of prayer: supplications (δεησις), prayers (προσευχας), intercessions (εντεθξεις), and thanksgivings (ευχαριστιας). 

In supplication the church brings specific needs and urgencies to the Lord in an attitude of dependency. 
In prayers the church draws near to God in communion. The attitude is worship and does not necessarily include petitions. 
In intercessions prayer is made on behalf of others. The emphasis is advocacy or mediation. 
In thanksgivings the church expresses gratitude for what the Lord has done, is doing and for who He is. 

Why is this important? 
Firstly, so that the church may live a tranquil and quiet live in all goodness and dignity. The church is not tied in any filial relationship with any government. Christian nationalism is deeply problematic for the church of Jesus Christ who is pledged in allegiance to only one Lord. Our business is not politics but the coming of God's kingdom. No matter what the nature of the government is, the only thing we need to do the business of our Father, is an environment of tranquility and peace. Much like the Pax Romana of the Roman Empire: A brutally enforced peace but nevertheless a conducive environment for the spread of the Gospel. 
Secondly, it is good and acceptable to God who wants all people to be saved. Our prayers are for all people because that is God's heart and His agenda: that all people might be saved.

1 Timothy 2:8: Wherever and whenever the church gathers in worship, the men must participate when they pray by lifting holy hands. In the Psalms (Old Testament) and the early church the raising of hands in prayer was a sign of surrender and receiving from God on high. This posture has become well known since the beginning of the 20th century as part of Pentecostal and Charismatic liturgy and has therefore become relevant again as an act of prayer, praise and worship. However, the "lifted" hands are not as important as the "holy" hands. This seems to indicate hands that are clean from the trespasses that men are known to engage in: doing unholy work, assault, fighting, and killing. Hands lifted in prayer to God must be clean from the blood (literally and figuratively) of his fellow man. Hands that touch heaven cannot be hands that, in the normal course of life, engage in unholy acts.

1 Timothy 2:9-10: While the men participate by lifting "holy" hands in prayer, the women participate by being dressed appropriately. Like the instruction for men, this has bearing on the gathering of the church for worship. Women should be dressed properly, modestly and discreetly. The words Paul uses are:  κοσμιω, αιδους, and σωφροσυνη. κοσμιω has to do with order - the order of the kosmos, which signifies outward order. Being properly dressed means dress which is in order for the given situation. Women in worship should be cognizant of the seriousness and holiness of a church in worship of a holy God. αιδους has to do with the inner attitude of shame and reverence that prevents improper behavior like dressing sensually or creating a distraction. Our focus in worship is not a woman's sensuality or her glitzy glamour and elegance which cause distraction or undue attraction from fleshly males. σωφροσυνη has to do with soberness or a sound mind. We might say she must use a sound mind when dressing for the gathering of God's people. Be mindful that we come humbly together as the body of Christ with reverence for one another and especially for God. Like the men who must pray with holy hands, the women must rather be known for their good works than being a distraction through the way they dress.