Replicate single table from Postgres 9.3 replica

I have an existing Postgres 9.3 server acting as a read-only replica using the built-in streaming replication.

I need to replicate a single table from a database on that server to another physical server.

I’ve tried using bucardo but it doesn’t like talking to read-only databases.

Is there a way to trigger an update on the remote server from the replica?