It should take about 3-5 seconds for the camera to power on once the power button is pressed on the Wi-Fi Remote.  If the camera does not power on, check for the following:

Make sure that the WiFi BacPac and remote are paired, and that a connection is recognized.

Make sure that the camera, Wi-Fi BacPac, and Remote batteries are fully charged.  Remember that you need to charge the Wi-Fi BacPac by connecting it to a computer, USB charger, or auto charger directly.  It can't be charged through the camera.

If the camera takes 10 seconds or more to power on, please visit the Software Updates page to update the software on the camera, Wi-Fi BacPac, and remote.