In GF I and II is obvious Kay badly wanted the Corleone family to become legitimate - and she often reminded Michael of his promise to do so.

So, why in GF III - when Michael seems to finally be on the way to achieve a respectability of some sort - she comes up and says those famous lines "I preferred when you were a common mafia hood" or "it's now that you are more respectable that I dread you more" etc...?

What did she actually want from that poor thing?