Write to conversation flow - write to just me?

I am trying to set up the Write to conversation flow (which comes with the Talk app) to send myself a message whenever a file is uploaded with a certain filename pattern.

When adding the flow, it asks me to select which conversation to post the message to. As I didn’t have any Talk conversations yet, I opened the Talk app to create one, but the only kind of conversation it let me create is “public,” which means anyone with the URL can see the messages (right?).

The flow works as desired when configured in this way, but I would like to have it send me a private message rather than post in a public conversation. Is this possible?