What role is played by the speaker of district?

The term "Speaker of District" is not a standard political or administrative role. It's possible you are referring to a specific location or organization where this title is used.

To provide a helpful answer, I need more context. Could you please tell me:

* Where did you hear this term used? (e.g., a specific country, state, organization)

* What is the context? (e.g., a news article, a website, a conversation)

Once I have more information, I can provide a better understanding of the role you are asking about.