This is so weird. I've tried two separate networks on my end, both of which I know work. I can see your town and try to join, but it says that there's an error with the partner's device. It might be that it takes too long to connect to you, so it lags out from a slow internet connection.
Do you have any other wi-fi networks you can use? Have you been able to visit other towns today? If you don't have any other networks, but you have been able to visit other towns, I guess we'll have to try the middle man option where they host the session for us.
I'm going to be on a short vacation soon, so I won't be able to try to trade again until this Monday if we can't work this out today. I'm sorry we've been having all these issues. It's okay if you want to give up, but I'm willing to keep trying if you are!