A Python developer can implement a task queue in Python using Redis Queue (RQ) to send Twilio SMS messages in a timely manner, avoiding the 429 status codes that occur when sending multiple messages per second. The developer sets up a project directory, installs RQ and related packages, and creates a Redis server. They then authenticate against Twilio Service, set up a contact CSV file, and create a queue object to keep track of functions to be executed. The `enqueue_in` function schedules the specified job with a time difference between each text message sent. The code is run using the `rq worker --with-scheduler` command, which starts the RQ scheduler. The developer can then wait for the next scheduled message to appear on their phone.