TELUS Communications for Home Services; TELUS Mobility.Mobilite for Mobility. When you're logged-in to your My TELUS, from Overview you can click Pay Bill for the account you want. Choose the Pay through bank tab and it will give you the payee name ...
For what it's worth, I have Call Control enabled on all my lines. Whenever I receive a callback from TELUS, it's successfully passed-through Call Control with a Result of something like globally accepted/allowed.
You'd likely need to contact TELUS' billing department, but perhaps an authorization was made but then something happened that the payment didn't complete. If so, at some point, that authorization would expire on your credit card.