Why? Just because she controversial sometimes, or is it you want to silence her? People only want to get rid of someone if they or something they relate to feel threatened. If you really think that low of someone, but you don't really care, then you would just ignore someone.
She's "controversial" because she is a poor journalist. Her balance and judgement belies her decades of actual experience, and she is offensively rude.
I am not in any way "threatened" by her, so it can hardly be the "only way" people have arrived at this conclusion (I am by no means alone in this view).
Your psycho-babble would make Ms Burley herself proud. Spurious 2+2=5 conclusions based on nothing at all.
I generally do ignore her by choosing not to watch Sky, but I might be inclined to change that habit were she to be removed.
You may choose not to agree; but that neither means I am wrong nor that I care.