You can just share the folder with the file you wrote to on a small lightweight webserver and directly load it in the other terminal.
I have no experience with web servers. I understand that first I need to install some lightweight webserver like mongoose, share the file/folder and read the file with WebRequest() (or other way?) from the other computer, right?
Running a webserver sounds like the easy solution on the surface, but IMO it's probably one of the more difficult solutions because you'll need to either (A) open a port through your firewall and expose your windows machine to the internet (LOL-NOPE) or (B) you'd need to confine your webserver to your private network and implement a site to site VPN. Your best bet is to use an intermediate secured cloud server. For example you could run both terminals in portable mode from the same dropbox folder or you could use Webrequests to pass messages via an API like telegram or slack... or even roll your own API...
Similar doubts about security went through my mind. The API Telegram service has already been integrated in my EA for alerting, but I did not think to use it for data transfer till now. I see that the Telegram library I use has methods to listen to incoming messages so tomorrow I will take a closer look at this feature. Thank you for the tip.