How to send response from another service (docker container) to user's socket?

Question

Software design

I am creating a socket connection.
The user sends a text.
The socket server receives the text and sends it to another container for processing.
The user is waiting for a response.
Another container processed the user's text.
How to return a response to a client socket?

Several users. If one user sends a message, while True will wait for another server (container) to respond, and the second user will immediately connect, won't the socket method hang? Will the second user also be able to send a request?