In my particular case I consider calling it a Connection. When you send a HTTP request, you're basically establishing a connection with some endpoint.
At least one reason why I dislike it is that similar to Session, one can assume there is some activity at the moment happening, which may or may not be true.
Background: I need to log all interactions with third-party service.
P.S. IMHO, Exchange is the best among others. It sounds more abstract.
