If you are so sure that they have nothing on you then walking away from trouble is the best, I will like to know which country you are from but I guess you aren't ready to discol that, if I were in your show I will at least report to the police just in case, but since you are sure of your actions well no problem.
You should be more careful to read what people write above. The OP clearly wrote that he is from an African country.
OP, did you have a good amount of money in your wallet so that the hotel management could risk their name for her? In addition, you write that you came to the room and were very tired. Could this work against you? Your wife could be inattentive and make some mistakes, and using public Wi-Fi, I think, could also play a cruel joke on you.
I was the one who got their social media passwords stolen while using public Wi-Fi. Since then, I prefer not to trust them.