There are two approaches you can try:
Old Approach: Set the TTL(time to live) header in each message/queue(policy) and then introduce a DLQ to handle it. once the ttl expired your messages will move from DLQ to main queue so that your listener can process it.
Latest Approach: Recently RabbitMQ came up with RabbitMQ Delayed Message Plugin , using which you can achieve the same and this plugin support available since RabbitMQ-3.5.8.
You can declare an exchange with the type x-delayed-message and then publish messages with the custom header x-delay expressing in milliseconds a delay time for the message. The message will be delivered to the respective queues after x-delay milliseconds
byte[] messageBodyBytes = "delayed payload".getBytes("UTF-8");
Map<String, Object> headers = new HashMap<String, Object>();
headers.put("x-delay", 5000);
AMQP.BasicProperties.Builder props = new
AMQP.BasicProperties.Builder().headers(headers);
channel.basicPublish("my-exchange", "", props.build(), messageBodyBytes);
More here: git