What should I do after Satan deceived my wife and me, and we entered a dating website, exposed our bodies via camera, and were recorded, then repented to Allah with sincere repentance?

What you mentioned about entering dating sites and displaying nude body images is an ugly sin and a deviant behavior that goes against the Sharia and sound human nature. However, Allah accepts the repentance of His servant if he repents genuinely.

It is obligatory to hasten in repenting to Allah by abandoning the sin, regretting having committed it, resolving never to return to it, being wary of following the footsteps of Satan, and being eager to learn the rulings of theia and strengthen one's connection with Allah by maintaining prayers in mosques, attending gatherings of knowledge and remembrance, cooperating with your wife in obeying Allah and avoiding sins, and adhering to the manners prescribed by the Sharia.