I have to point out that Paul does say that the passage you reference is the Lord's command...check out verse 37 ...
If anyone thinks that he is a prophet, or spiritual, he should acknowledge that the things I am writing to you are a command of the Lord.
He didn't say that in the quote from Timothy.
Here to the Corinthians he trying to make order in this new local Church within the Roman Empire that won't drive away potential new believers. So speaking in tongues without an interpreter was an issue so was women speaking in the Church. It was considered shameful and reminded people of a pagan oracle that only women were in leadership of in and around Greece.
Check out verses 23-25
[23] If, therefore, the whole church assembles and all speak in tongues, and outsiders or unbelievers enter, will they not say that you are mad?
[24] But if all prophesy, and an unbeliever or outsider enters, he is convicted by all, he is called to account by all,
[25] the secrets of his heart are disclosed; and so, falling on his face, he will worship God and declare that God is really among you.
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