What happens if you connect a computer to the router with an Ethernet cable? If this does not work after a reboot, then most likely a Telus Tech visit would be the next step.
Call 1-888-811-2323 or Tweet @TELUSsupport as described in the 'Contact Us' section at th bottom of the page.
It is very possible for your Wi-Fi to work for your local networking, but have no connection to the outside world.
You mentioned you reset the white box so I assume this is the ONT and you are on Fibre. There should be a light on the white box that is labeled Fail. If it is solid red then you have a problem with the Fibre strand itself. If the ONT is all green lights then the connection to it is fine and your problem is the modem. If you have your own router or can hard wire your laptop or PC to the white box directly until the tech arrives on Monday you should get connectivity back.