There isn't cable service per se in Qatar. The local communications company, Q-Tel, receives certain channels and rebroadcasts them as part of its package for people who don't have or don't want satellite.
Their broadcasts of certain channels have a 30 minute delay to censor anything inappropriate, ie nudity.

You can watch some of these shows on satellite. One TV, broadcasting out of Dubai, had the Amazing Race and American Idol. They haven't broadcast the Race again and they're very erratic. They had the Sopranos and dropped it after one year.