How do I remove the "connection client" part of my gINT professional plus experience? I dont want to use it.

After V8i versions, all gINT Connect editions gINT version 10.00.xx.xx will have Connection client packaged along with the gINT install. One has to sign in to the connection client in order to use any Bentley product. 

However for the latest version of gINT and subsequently every version after, the licenses will be tied to the connection client.