Actually you're not. There is no requirement for everyone to have a TV licence. Plenty of people choose not to watch or record live TV or BBC iPlayer and therefore don't need to pay the licence fee.
Your argument would apply better to one of the UK's 5.8 million public sector workers, whose wages you are forced to pay for through taxation, and which illustrates how absurd it is for you to think you should have an individual veto on the personal conduct of each one of them.
I can't watch live TV without a TV license. Even if I don't watch the BBC, I have to pay for it. If Sky started hiring sexual predators, I could stop watching and paying for Sky. I can't with the BBC unless I want to stop all broardcast television.