In essence, Di Jun and Tai Yi simply did not respect Empress Nuwa.
Having made her own race, you incorporated it into the Demon Race, instead of treating them well. Based on Empress Nuwa's reclusive behavior in later eras, it was highly likely that she preferred a quiet life hidden in the background.
But after all, Empress Nuwa was simply too powerful.
Once one was as powerful as Empress Nuwa, the intention to rebel was not important. What mattered was that she had the power to rebel.
Furthermore, Emperor Fuxi stood firm with Empress Nuwa.
So, Di Jun and Tai Yi found it hard to feel secure.
They did not wish to offend Empress Nuwa entirely, yet they wanted to persuade her to be content with being manipulated by them.
We can't blame them for their idealistic thinking, as nearly all those in power treats their competent subordinates in the same manner. This is the essence of imperial strategies.
Such a strategy wouldn't be effective against those foolishly loyal.