Per-connection flow control
describes what happens when a publisher (or group of publishers) is sending messages to queues faster than the queues are being processed. This is a safety feature as RabbitMQ becomes unstable at some point when the queue fills without bound. From the documentation, this is automatic:
RabbitMQ will block connections which are publishing too quickly for queues to keep up. No configuration is required.
Unfortunately, the documentation is not terribly specific on when/how this flow control is implemented, other than "several times per second." So, if one consumer gets stuck, as long as the other consumer(s) can keep up, flow control should not be triggered.