Theirs no haki which can counter haki.
Awakening are made in way, especially hax users where Haki counter is surpassed.
You can't overwrite that ability. Luffy played around with kaidou with his hax.
We know Haki can get through Awakening, because Kaido was still able to hurt Luffy in Gear 5.
But, can it NEGATE an effect put on you by Awakening?
It's possible that Linlin couldn't break out of Kidd's Awakening, but, I think it just takes a lot of Haki, and she didn't want to use that much, because she wanted to back up and kill Luffy after she beat Law and Kidd. Linlin really doesn't hate Kidd and Law that much, especially Law.