Sorry to dig up an old thread, but trying to use the groups area more. I had two thoughts, one is that obviously if she's "known for" those sort of poses, that you would have seen that in her portfolio and should have expected at least some of her movements to be the same as the cheesy ones you dislike.
My other thought was that it takes two... and if she was doing something you didn't like, and you responded by physically mocking her and doing cheesy poses and made her feel incompetent by putting down the kind of work she was proud of, that attitude she was giving off was something you caused. Models are people, and they have feelings, and if you are working with someone, and then insult them, you can expect that their reactions won't always be the best. Try the next time to guide her in a way that isn't so off-putting, perhaps saying "oh that's interesting, can you try this? Don't specifically tell her "I don't like what you're doing" just say, "I have this idea and I'll try to make it happen and it's going to take some guiding but I think we can do it" that way it appears a team effort while not putting down her "trained" style.
If on the other hand, early on in the shoot, she refuses to pose the way you want, it's time to cut your losses, stop early and say, I'm sorry, I'm having trouble guiding you and I think it's best if we stop, pay her for the time she put in but not for the time she didn't, and find someone else. Explain nicely that this is your art and your concept and not at all about her ideas, and if she wants to be payed, she needs to understand that she needs to be moldable to a given situation otherwise she's no good to a real professional.