St. Paul wrote to slaves to suffer their slavery for the sake of God.
“Bid slaves to be submissive to their masters and to give satisfaction in every respect; they are not to talk back, nor to pilfer, but to show entire and true fidelity, so that in everything they may adorn the doctrine of God our Savior" Titus 2:9-10
Besides, he would have no doubt gotten untold numbers of Christian slaves executed if he had bade them to rebel against their masters.
Paul being an educated Jew with Roman citizenship, knew full well how the slavery industry worked. He knew that if Christians slaves obeyed their masters, then they would likely gain the opportunity to be released:
Every one should remain in the state in which he was called. Were you a slave when called? Never mind. But if you can gain your freedom, avail yourself of the opportunity. For he who was called in the Lord as a slave is a freedman of the Lord. Likewise he who was free when called is a slave of Christ. You were bought with a price; do not become slaves of men. So, brethren, in whatever state each was called, there let him remain with God (1 Cor. 7:20-24).
It seems to me that Paul implicitly is rejecting slavery here, yet exhorting Christians to fulfill their state in life (whether that be slave or free). He’s also warning Christian slaves that it would do them no good to try and overthrow their masters. They’d almost certainly be killed. Rather they should suffer the evils of this life knowing God will repay them 100 fold in the next.
We don’t see this context when Paul is speaking about marriage. He never implies that a husband’s authority is a necessary evil that women must suffer. He actually says the opposite.