Is it possible to have "la que"?

Question

I come to it after the test question:
Sinceramente, ________ odio de ti es tu frialdad. Honestly, what I hate about you is your coldness.I thougth the answer to be la que, because it is la frialdad. But probably i am wrong.

Answer

Hola Hans,
In this case you need "lo que" because it is referring to "The thing that", as a neutral thing/idea. So, we could say:
"The thing I hate about you is your coldness." or "What I hate about you is your coldness." 
There is a very similar example in the lesson:
Lo que admiro de ellos es su tenacidad.What I admire about them is their tenacity.The thing that I admire about them is their tenacity.
I hope this helps.
Inma

Answer

Can you explain a little more about when to say la que instead of lo que? I incorrectly chose la que in the quiz for “lo que más admiro es la generosidad, thinking that la que needed to correspond to la generosidad. What would be an example when la que is correct and why? Thanks!