There is a delay before a Bluetooth® mouse responds if it has been inactive
To extend battery life, Bluetooth devices go into hibernation after 8-10 minutes of inactivity. It can take several seconds for the Bluetooth mouse to reconnect when you resume using it after this period of hibernation. As a result, you may notice a delay between the time that you use the mouse and the response on the screen.
There is a delay before the screen responds when starting my computer
If there is a delay before the screen responds when you start your computer, consider changing your Bluetooth settings to use Hardware-Managed Bluetooth mode. In this mode, your transceiver behaves like a standard Bluetooth.