It's fine to complain about a programme.
It isn't a waste of the Licence Fee. As soon as you bring the Licence Fee into the argument, it enables the Tories plan, it's exactly what they want you be thinking
People need to realise that the Licence Fee is what enables them to watch telly legally. That it funds the BBC is an entirely different issue. It doesn't entirely fund the BBC for starters (about a 75/25 split between Licence Fee and Overseas Sales).
The money for the Licence Fee is collected by an outside agency and given to the Government, it is a tax. The Government then allocates the money to the BBC (and says where it should spend its money too iirc)
The Licence Fee also allows you to watch live football legally on any channel, or any other TV channels output as it is broadcast.
The Goverment like you to think the Licence Fee is collected by the BBC (in name it is, in reality it isn't),