No Doctrinal Triage In Paul's Commands To Uphold All Doctrine and It's Practice Without Partiality Or Bias

There is no triaging of doctrine in this epistle. Doctrinal triage will triage obedience (sanctification) which is another way of justifying the sin of disobedience (which itself is the sin of unbelief) because according to  Scripture, doctrine and godliness are inseparable to each other:

1Ti 6:3  If anyone advocates a different doctrine and does not agree with sound words, those of our Lord Jesus Christ, and with the doctrine conforming to godliness,

Paul warns about holding to sound doctrine and practice, commanding Timothy to fight for all sound doctrine. Nowhere is there any categorizing doctrine by false humanistic philosophies of primary, secondary, and tertiary doctrines.

1Ti 1:3  As I urged you upon my departure for Macedonia, remain on at Ephesus so that you may instruct certain men not to teach strange doctrines, 
1Ti 1:4  nor to pay attention to myths and endless genealogies, which give rise to mere speculation rather than furthering the administration of God which is by faith.

1Ti 1:18  This command I entrust to you, Timothy, my son, in accordance with the prophecies previously made concerning you, that by them you fight the good fight, 

1Ti 1:19  keeping faith and a good conscience, which some have rejected and suffered shipwreck in regard to their faith. 

1Ti 4:6  In pointing out these things to the brethren, you will be a good servant of Christ Jesus, constantly nourished on the words of the faith and of the sound doctrine which you have been following. 

1Ti 4:11  Prescribe and teach these things. 

1Ti 4:13  Until I come, give attention to the public reading of Scripture, to exhortation and teaching. 

1Ti 4:16  Pay close attention to yourself and to your teaching; persevere in these things, for as you do this you will ensure salvation both for yourself and for those who hear you. 

1Ti 5:21  I solemnly charge you in the presence of God and of Christ Jesus and of His chosen angels, to maintain these principles without bias, doing nothing in a spirit of partiality. 

1Ti 6:1  All who are under the yoke as slaves are to regard their own masters as worthy of all honor so that the name of God and our doctrine will not be spoken against. 

1Ti 6:2  Those who have believers as their masters must not be disrespectful to them because they are brethren, but must serve them all the more, because those who partake of the benefit are believers and beloved. Teach and preach these principles. 

1Ti 6:12  Fight the good fight of faith; take hold of the eternal life to which you were called, and you made the good confession in the presence of many witnesses. 

1Ti 6:13  I charge you in the presence of God, who gives life to all things, and of Christ Jesus, who testified the good confession before Pontius Pilate, 

1Ti 6:14  that you keep the commandment without stain or reproach until the appearing of our Lord Jesus Christ, 

1Ti 6:20  O Timothy, guard what has been entrusted to you, avoiding worldly and empty chatter and the opposing arguments of what is falsely called "knowledge"-- 

1Ti 6:21  which some have professed and thus gone astray from the faith. Grace be with you.