QVC is paying your cable provider to get access to your homes after 01.30.
But you are paying your cable provider to deliver Eurosport during their programming hours.
Clearly a dilemma. Some party may be breaking a rule.
It could be that QVC is helping reduce your mandatory Eurosport fee (an annual sum for each home) in return for getting access each night after 01.30 - regardless of the Eurosport schedule.
In any case, you, the viewers, are getting screwed. I would make some noise in the direction of the cable provider.