Nor does it offer any incentive that she should. Just immediately before that, in the letter (without chapter and verse divisions):
1 Tim. 2:11-14
"Let the woman learn in silence with all subjection.
But I suffer not a woman to teach, nor to usurp
authority over the man, but to be in silence.
For Adam was first formed, then Eve.
And Adam was not deceived, but the woman being
deceived was in the transgression."
This fully rejects your proposition. God has never made a woman the overseer of any of His religious enterprises since the moment before Eve was made.
Only recently have women presumed to claim that ordination, and have done it without His help and only through weak men relinquishing it to Satan who seduced Eve.
I do not recall suggesting there was incentive. See now there is no quarrel about what is required to have an orderly arranged church service. But it does require a learned man for the woman to be taught. Whether that be a husband or a pastor/teacher. And no church service is going to be teaching the Word if there is a congregation men and/or women chatting and whispering during the lesson.
I do not have a problem with what is Written here. It makes common sense. The problem arises when there is no learned man in the Word to teach. And some men are going to have a real tough time accepting that it is not unheard of for the LORD to use a woman. Deborah comes to mind. There were no men willing to take/do the job and Deborah did.
And as it is Written in Acts 2:17 (And this has not happened yet.) And it shall come to pass in the last days, saith God, 'I will pour out My Spirit upon all flesh: and your sons and your daughters shall prophesy, and your young men shall see visions, and your old men shall dream dreams:
18 And on My servants and on My handmaidens I will pour out in those days of My Spirit; and they shall prophesy:
19 And I will shew wonders in heaven above, and signs in the earth beneath; blood, and fire, and vapour of smoke;
20 The sun shall be turned into darkness, and the moon into blood, before that great and notable day of the LORD come:
21 And it shall come to pass, that whosoever shall call on the name of the LORD shall be saved.'
This is Peter quoting Joel 2:28-31 and on Pentecost day... (means fifty) after the Crucifixion where they gathered wherein the promise of the Holy Spirit was fulfilled and demonstrated by the voice heard was heard in each attendees own language. Also described in Luke 24.
God does not require woman to be subjected to men described in ITimothy 1:9-10. The man is suppose to be to the woman as Christ was/is to the Church. Then there is NO reason why the woman would not consider submitting. Pretty lofty requirement for the menfolk.
Notice how Paul warns the 'body of Christ', the church as to what to be alert to and for... Now this would include the menfolk as well.
IICorinthians 11:1 Would to God ye could bear with me a little in my folly: and indeed bear with me.
2 For I am jealous over you with godly jealousy: for I have espoused you to one husband, that I may present you as a chaste virgin to Christ.
3 But I fear, lest by any means, as the serpent beguiled Eve through his subtility, so your minds should be corrupted from the simplicity that is in Christ.
4 For if he that cometh preacheth another Jesus, whom we have not preached, or if ye receive another spirit, which ye have not received, or another gospel, which ye have not accepted, ye might well bear with him. ........
See it is not just the woman that will have the propensity for deception.