Modifying the bind port is not recommended, the Director expects that to be listening on port 5665. Edit /etc/icinga2/features-enabled/api.conf and remove the bind_* attributes, then restart Icinga 2.
You can change the port for the Endpoint (config master) inside the Director by going to Director -> Icinga Infrastructure -> Endpoints and then choose the endpoint with the deploy icon next to it.
Keep in mind that changing the port to something is non-standard and others likely won’t be able to help you in this regard. Everyone expects that port 5665 is used for Icinga distributed environments.