Thanks, Drew Reece, for your good counsel. But nothing is working for me.
The CanyouSeeMe site reports, no matter what port number I enter, even 80: "
Error: I could not see your service on 216.15.119.133 on port (80)
Reason: Connection timed out
I don't know what to think of this result.
As for the Transmission site that directs me to http://192.168.0.1/
to configure my router, I cannot login. I don't know whether it wants my computer username and password, or my Airport Extreme name and password, but none of these works.
I can say that NAT is enabled on the Airport Extreme.
And I again did the Shields Up Universal Plug n Play test, which again said "The equipment at thetarget IP address did not respond to our UPnP probes!"
All of this is over my head. I can say that every other internet stuff is working normally, and that Transmission worked fine for years until the latest Sierra. (By the by, I'm not using Wireless. My ISP is RCN, via their cable modem, thence to my router. Perhaps tomorrow I'll disconnect the router, and see if it makes a difference.)
Thanks for your help, though.