Ansom wants her in a physical sense, that much is certain from the invite to the tent. Whether he truly cares for her or not is stil unknown.

Jillian considered the offer of meeting in the tent, but turned away unsure. If you subscribe to general stereotype, this means that she cares for him, but is not ready for that type of physical relationship. If she didn't care for him, she would not have even considered the meeting in the first place, or would have just gone on in to fulfill her personal desires.

My thinking on this is that Ansom is rather spoiled and used to getting what he wants. He looks on Jillian as a trophy to bag, so to speak. Jillian, on the other hand, seems to have some real feelings towards him.

Just my .02