2I

Why do you think Fairchild is denying his daughter is missing?

I'm not sure. I'd like to think that he wasn't the one that sent the men to kill her so that doesn't leave me with a reason for his denial. However, if he is responsible for sending the men, then I'd suspect that Rose/Rachel found out something that she shouldn't and he's trying to silence her - I don't think he'd send hitmen just because she'd become a prostitute

I don't think that Fairchild is responsible for sending the men but I do think he knows who is. If it's anyone I would say it's her brother.

I think Fairchild seems to be denying his daughter maybe because she became a prostitute.

I think Fairchild is either embarrassed for his family and their status that his daughter ran off or he is trying to cover up something that his daughter learned.

I think it was just out of embarrassment, he probably knew where his daughter had ended up.
I'm wondering if she had been abused or raped? If she had been violated in any way she might not have cared whether she had to prostitute herself or not.