Big Browser,
I don't think we meant to hijack the thread as far as bait and switch although it's open to interpretation as to whether your OP implicates typical B&S issues as far as someone getting something they were not expecting, which is what happened to you. Admittedly, your unusual situation could happen at any very reputable agency.
I did post what my protocol would be in that situation even though it never happened. I did have something similar happen to me though. At one of the parties, James introduced me to Heidi when she started at the agency. James later asked me what I thought of her when we were alone and I complimented him on his selection of her. I have never booked Heidi, however, because she reminded me very much of my paralegal's daughter who is about the same age. Heidi is more attractive than my paralegal' daughter but the facial resemblance was uncanny and for me slightly troubling. I didn't ever want to feel like I was fucking a friend's daughter.
Your thread raised another issue I want to comment on which is thinking about worst case scenarios. Not a lot of hobbyists think about whether something like this can happen although it's always possible you can book an escort who looks like your sister or even mother, a past girlfriend or wife with whom things ended horribly, or perhaps that bitch coworker who told your boss about all of your fuckups he didn't know about. I always have a plan for reasonably foreseeable situations and my reaction to this situation has already been thought out and it's a $50 offer with an apology and an HONEST explanation of why the girl is being turned away which is what she deserves because otherwise she will assume you don't like her physically and so will the agency.
As far as refusing girls because they were plain ugly or not fitting his high expectations, I knew a hobbyist who did this and it frankly bothered me because (especially with HDH agencies he was calling), it has great potential to substantially hurt the girl. This is not like returning a broken garage door opener to Sears. Be honest or hurt the girl - bottom line.